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Mass conservative characteristic finite difference method for convectiondiffusion equations Int. J Comput. Math. (IF 1.6) Pub Date : 20210118
Zhongguo Zhou; Tongtong Hang; Tengfei Jiang; Qi Zhang; Huiguo Tang; Xiangdong ChenIn the paper, the space secondorder conservative characteristic finite difference method for solving convectiondiffusion equations is developed and analyzed. Applying the directional derivative and mass correction technique, the redconvectiondiffusion equations are changed into the parabolic equations, where the convection term and unsteady term are considered as one term. redThe splitting implicit

Application of the Cauchy integral approach to Singular and Highly Oscillatory Integrals Int. J Comput. Math. (IF 1.6) Pub Date : 20210118
Idrissa Kayijuka; Suliman Alfaqeih; Turgut ÖzişThe objective of this paper, is to apply a method that is based on the sum of line integrals for fast computation of singular and highly oscillatory integrals ∫ c d G x e i μ x − c k d x , − ∞ < c < d < ∞ , and ∫ − 1 1 f x H l x e i μ x d x , l = 1 , 2 , 3 . Where G and f are nonoscillatory sufficiently smooth functions on the interval of integration. H l is a product of singular factors and μ ≫ 1

Numerical solution of twopoint BVPs in infinitehorizon optimal control theory: A combined quasilinearization method with exponential Bernstein functions Int. J Comput. Math. (IF 1.6) Pub Date : 20210117
Z. Nikooeinejad; M. Heydari; G.B. LoghmaniThis study is aimed to relate nonlinear infinitehorizon optimal control problems (NLIHOCPs) with openloop information. The difficulties of solving the twopoint boundary value problems (TPBVPs) arising from NLIHOCPs can be assigned to the nonlinearity of differential equations, the combination of split boundary conditions, and how the transversality conditions in infinitehorizon are treated. In

A modified numerical algorithm based on fractional Euler functions for solving timefractional partial differential equations Int. J Comput. Math. (IF 1.6) Pub Date : 20210111
Haniye Dehestani; Yadollah OrdokhaniA novel and efficient method based on the fractional Euler function together with the collocation method is proposed to solve timefractional partial differential equations. By applying the RiemannLiouville fractional integral operator on this problem, we convert it to fractional partial integrodifferential equations. Also, we present the method of calculating the operational matrix in a new way

An effective approach for solving a class of nonlinear singular boundary value problems arising in different physical phenomena Int. J Comput. Math. (IF 1.6) Pub Date : 20210111
Saurabh TomarIn this article, an effective computational scheme is introduced to obtain the approximate analytical solutions of a class of twopoint nonlinear singular boundary value problems arising in different physical models. The proposed approach consists of two steps. First, construct an integral operator by introducing Green's function, and then, the Halpern fixed point iterative scheme is applied to this

Spectral method for Multidimensional problems of high order on unbounded domains using generalized Laguerre functions Int. J Comput. Math. (IF 1.6) Pub Date : 20210106
Chao Zhang; Dongya Tao; Pan DingIn this paper, a spectral method using generalized Laguerre functions is proposed for high dimensional problems of high order defined on unbounded domains. The new basis is introduced, and some orthogonal and interpolation approximation results are established, which serve as useful tools in spectral methods for high order problems. As examples of applications, the spectral schemes for the fourth order

An efficient numerical method for pricing a Russian option with a finite time horizon Int. J Comput. Math. (IF 1.6) Pub Date : 20210106
Zhongdi Cen; Anbo LeIn this paper we present a finite difference scheme for a linear complementarity problem with a mixed boundary condition arising from pricing a Russian option with a finite time horizon. An implicit Euler method for the temporal discretization and second order difference schemes on a piecewise uniform mesh for the spatial discretization are used to solve the linear complementarity problem with a mixed

Characteristicbased finitedifference schemes for the simulation of convectiondiffusion equation by the finitedifferencebased lattice Boltzmann methods Int. J Comput. Math. (IF 1.6) Pub Date : 20201230
G. V. KrivovichevThe paper is devoted to the analysis of characteristicbased schemes for the simulation of the convectiondiffusion equation by the lattice Boltzmann method (LBM). Numerical schemes from the first order to fourth one are considered. The stability analysis is realized by the von Neumann method. The stability domains of the schemes are constructed. It is demonstrated, that the areas of the stability

Nonoverlapping domain decomposition method with preconditioner from asymptotic analysis of steady flow in high contrast media Int. J Comput. Math. (IF 1.6) Pub Date : 20201230
Liliana Borcea; Beatrice Riviere; Yingpei WangWe present a nonoverlapping domain decomposition method for steady flow in high contrast heterogeneous media modeled by an elliptic equation with coefficients that have very large amplitude variations on a small spatial scale. The linear system of equations resulting from matching the solution trace and the fluxes through the boundary of the subdomains is illconditioned, especially for fine meshes

Three wave mixing effect in the (2+1)dimensional Ito equation Int. J Comput. Math. (IF 1.6) Pub Date : 20201230
Xiaoman Tan; XXX ZhaqilaoThe effect of three wave mixing in the (2+1)dimensional Ito equation is investigated by the Hirota bilinear method and the long wave limit approach. Among the mixed solutions, there are the solitons, breather and lump. The dynamic behaviors of the mixed solutions are illustrated through some figures.

A novel approach to soft set theory in decisionmaking under uncertainty Int. J Comput. Math. (IF 1.6) Pub Date : 20201228
Orhan DalklSoft set is a generic mathematical tool for dealing with uncertainty. That's why, the soft set theory has drawn attention from many researchers particularly for dealing with uncertainty in decisionmaking problems. However, the fact that the membership degrees of the elements belonging to the universe set in the theory are expressed only with 0 or 1 makes it difficult to express the uncertainty in

An adaptive leastsquares finite element method for Giesekus viscoelastic flow problems Int. J Comput. Math. (IF 1.6) Pub Date : 20201221
HsuehChen Lee; Hyesuk LeeIn this study a leastsquares (LS) finite element method with an adaptive mesh approach is investigated for Giesekus viscoelastic flow problems. We consider the weighted LS method on uniform and adaptive meshes for the Newton linearized viscoelastic problem, where adaptive grids are automatically generated by the leastsquares solutions. We use a residualtype a posteriori error estimator to adjust

A convergence analysis of semidiscrete and fullydiscrete nonconforming FEM for the parabolic obstacle problem Int. J Comput. Math. (IF 1.6) Pub Date : 20201201
Papri MajumderWe propose and analyze a nonconforming finite element method for numerical approximation of the solution of a parabolic variational inequality associated with general obstacle. In this article, we carry out the error analysis for both the semidiscrete and fullydiscrete schemes. We use the backward Euler method for time discretization and the lowest order CrouzeixRaviart nonconforming finite element

A new efficient algorithm for finding common fixed points of multivalued demicontractive mappings and solutions of split generalized equilibrium problems in Hilbert spaces Int. J Comput. Math. (IF 1.6) Pub Date : 20201127
L.O. Jolaoso; O.K. Oyewole; K.O. Aremu; O.T. MewomoThe purpose of this article is to present a new iterative technique for approximating solutions of split generalized equilibrium problem and common fixed points of multivalued demicontractive mappings satisfying the gate conditions in real Hilbert spaces. Unlike the earlier results in this direction, we obtain a strong convergence result using an Armijo line search rule for determining the best appropriate

Identification of the forcing term in hyperbolic equations Int. J Comput. Math. (IF 1.6) Pub Date : 20201124
M. Alosaimi; D. Lesnic; Dinh Nho HàoWe investigate the problem of recovering the possibly both space and timedependent forcing term along with the temperature in hyperbolic systems from many integral observations. In practice, these average weighted integral observations can be considered as generalized interior point measurements. This linear but illposed problem is solved using the Tikhonov regularization method in order to obtain

A class of modified GSS preconditioners for complex symmetric linear systems Int. J Comput. Math. (IF 1.6) Pub Date : 20201124
YuQin BaiRecently, Chen and Ma [A generalized shiftsplitting preconditioner for complex symmetric linear systems, J. Comput. Appl. Math., 344 (2018) 691700] have presented the generalized shiftsplitting (GSS) method to solve complex symmetric linear systems. In this paper, we establish a class of modified GSS (MGSS) method to extend the existing GSS method. We prove the convergence of the proposed method

NONLOCAL TOTAL VARIATION SYSTEM FOR THE RESTORATION OF TEXTURED IMAGES Int. J Comput. Math. (IF 1.6) Pub Date : 20201119
Fahd Karami; Driss Meskine; Khadija SadikA new nonlocal total variation reactiondiffusion system is proposed, analyzed and implemented for image denoising. In the way, it is obtained by analyzing the case where p → 1 in the nonlocal pLaplacian reactiondiffusion system proposed in [19]. We established the existence and uniqueness of the proposed model. Numerical and comparatives experiments are presented that illustrate the main features

Virtual element method for nonlinear convectiondiffusionreaction equation on polygonal meshes Int. J Comput. Math. (IF 1.6) Pub Date : 20201116
M. Arrutselvi; E. NatarajanAbstract In this paper we discuss the virtual element formulation for the nonlinear convectiondiffusionreaction equation. We consider the Streamline upwind PetrovGalerkin stabilization to reduce the nonphysical oscillations presented in the solution. The nonlinear term is evaluated after a suitable modification with the help of a polynomial projection operator. We perform the error analysis by

Two efficient Galerkin finite element methods for the modified anomalous subdiffusion equation Int. J Comput. Math. (IF 1.6) Pub Date : 20201110
An ChenIn this paper, we consider the numerical approximation of the modified anomalous subdiffusion model which involves the RiemannLiouville derivatives in time. We propose two robust fully discrete finite element methods by employing the piecewise linear Galerkin finite element method in space and the convolution quadrature in time generated by the backward Euler and the secondorder backward difference

A C 0 virtual element method for the biharmonic eigenvalue problem Int. J Comput. Math. (IF 1.6) Pub Date : 20201110
Jian Meng; Liquan MeiFrom the eigenvalue problem theory, we see that the convergence rate of the biharmonic eigenvalues obtained by the mixed method in [6] is h 2 k − 2 for k ≥ 2 . In this paper, we give a presentation of the lowest order virtual element method for the approximation of Kirchhoff plate vibration problem. This discrete scheme is based on a conforming H 1 ( Ω ) × H 1 ( Ω ) formulation, following the variational

A simple fork algorithm for solving pseudomonotone nonLipschitz variational inequalities Int. J Comput. Math. (IF 1.6) Pub Date : 20201106
Trinh Ngoc HaiWe introduce a new algorithm, improved from the Armijo line search one (SIAM Journal on Control and Optimization 37:765776, 1999). Our algorithm converges under the same assumption but does not use the line search procedure in its steps. Our numerical experiments show that the new algorithm is more effective than some existing ones.

Numerical simulation of transient heat conduction in a multilayer material by the Conservation Elements / Solution Elements (CE/SE) method Int. J Comput. Math. (IF 1.6) Pub Date : 20201106
Jeremy Alloul; Mame WilliamLouis; Leo Courty; Thomas Ledevin; Dimitri FabreThe spacetime Conservation Element Solution Element (CE/SE) method is used to solve the 1D unsteady equation of thermal diffusion in a multilayer material, with application to thermal batteries. A conservative form of the equation is derived and solved using the CE/SE method. At the interface between the layers, local thermodynamics properties are discontinuous. Their spatial derivatives are calculated

Analysis of Legendre pseudospectral approximations for nonlinear time fractional diffusionwave equations Int. J Comput. Math. (IF 1.6) Pub Date : 20201106
Haiyu Liu; Shujuan Lü; Tao JiangA finite difference/pseudospectral scheme is developed for solving nonlinear time fractional parabolic equations with Caputo fractional derivative of order 1 < α < 2 . The boundedness and unique solvability of numerical solution are given. Then we prove rigorously the unconditional stability and convergence of the fully discrete scheme, where the optimal error estimate in H 1 norm is obtained. Furthermore

Extragradient method and golden ratio method for equilibrium problems on Hadamard manifolds Int. J Comput. Math. (IF 1.6) Pub Date : 20201106
Junfeng Chen; Sanyang Liu; Xiaokai ChangIn this paper, we present two algorithms for solving equilibrium problems on Hadamard manifolds. The two algorithms use the extragradient model and the golden ratio model respectively, which are two classical models for solving the equilibrium problem in linear space. In each iteration, the step sizes of the two algorithms only depend on the value of the initial parameters and the information of the

Numerical solutions of strongly nonlinear generalized BurgersFisher equation via meshfree spectral technique Int. J Comput. Math. (IF 1.6) Pub Date : 20201106
Manzoor Hussain; Sirajul HaqIn this article, a meshfree spectral interpolation technique combined with CrankNicolson difference scheme is proposed to solve a class of strongly nonlinear BurgersFisher type equation numerically. The proposed technique utilizes meshless shape functions for approximation of unknown spatial function and its derivatives. These shape functions are obtained by combining radial basis functions and point

Stability of nonlinear stochastic markov jump system with modedependent delays and applications Int. J Comput. Math. (IF 1.6) Pub Date : 20201106
Mali Xing; Feiqi Deng; Shuqi Li; Kerang CaoThe pth moment stability of stochastic Markov jump systems (SMJSs) with timedelays and polynomial growth was investigated in this paper. Both the involved timedelays and polynomial growth are modedependent. By using the new property of the polynomial as well as the relation between the timedelay and the generator of the Markovchain, bluesufficient pth moment stability criteria are proposed.

Error analysis of the unstructured mesh finite element method for the twodimensional timespace fractional Schrödinger equation with a timeindependent potential Int. J Comput. Math. (IF 1.6) Pub Date : 20201105
Wenping Fan; Xiaoyun JiangIn this paper, error analysis of the unstructured mesh Galerkin finite element method for the twodimensional timespace fractional Schrödinger equation with a timeindependent potential defined on a finite domain is studied. The finite difference method is used to discretize the Caputo time fractional derivative, while the finite element method using unstructured mesh is used to deal with the Riesz

Superconvergence of discontinuous Galerkin method for neutral delay differential equations Int. J Comput. Math. (IF 1.6) Pub Date : 20201104
Gengen Zhang; Xinjie DaiIn this paper, we investigate how many convergence orders of discontinuous Galerkin (DG) method for numerically solving neutral delay differential equations (NDDEs). Although discontinuous behavior may occur in the derivatives of the exact solution at every breaking point, it is shown that the convergence order of the pdegree DG solution at the mesh points and characteristic points can achieve O (

Numerical treatment of singular integral equation in unbounded domain Int. J Comput. Math. (IF 1.6) Pub Date : 20201102
Khosrow Maleknejad; Ali HoseingholipourIn literature, numerical solutions for the singular integral equation in unbounded domain are rarely investigated. The main motivation of this study is to propose a practical matrix method based on Laguerre functions to approximate the solution of this integral equation. Laguerre functions which are obtained from the Laguerre polynomials are used to avoid fluctuations for large values. The main charactristic

Fourthorder alternating direction implicit (ADI) difference scheme to simulate the spacetime Riesz tempered fractional diffusion equation Int. J Comput. Math. (IF 1.6) Pub Date : 20201023
Mostafa Abbaszadeh; Mehdi DehghanThe current paper proposes a new highorder finite difference scheme with low computational complexity to solve the spacetime fractional tempered diffusion equation. At the first stage, the time derivative has been approximated by a difference scheme with secondorder accuracy. Furthermore, in the next step, a compact operator has been employed to discrete the space derivative with fourthorder accuracy

A modified fractional Landweber method for a backward problem for the inhomogeneous timefractional diffusion equation in a cylinder Int. J Comput. Math. (IF 1.6) Pub Date : 20200814
Shuping Yang; Xiangtuan Xiong; Yaozong HanIn this paper, we consider a backward problem for the inhomogeneous timefractional diffusion equation in a cylinder. Such a problem is illposed. Based on the solution given by the separation of variables, we apply a modified fractional Landweber method to solve it. Error estimates are presented under the apriori and the aposteriori choice rules for regularization parameters, respectively. Relative

Mappings on abstract cellular complex and their applications in image analysis Int. J Comput. Math. (IF 1.6) Pub Date : 20201014
R. Syama; G. Sai Sundara Krishnan; Yashwanth RamamurthiThe notion of Abstract Cellular Complex, which was initiated by Kovalevsky, is a consistent topology for representing images through lowerdimensional cells in the combinatorial grid. This paper introduces the concept of subspace topology in Abstract Cellular Complex and also characterizes it using the lowerdimensional cells. Further, the paper initiates the modified Chain Code algorithm and implements

Numerical solution of twodimensional FredholmHammerstein integral equations on 2D irregular domains by using modified moving least square method Int. J Comput. Math. (IF 1.6) Pub Date : 20201013
Z. El Majouti; R. ElJid; A. HajjajIn this work, we describe a numerical scheme based on modified moving least square (MMLS) method for solving FredholmHammerstein integral equations on 2D irregular domains. The moment matrix in MLS method may be singular when the number of points in the local support domain is not enough. To overcome this problem, the MMLS method with nonsingular moment matrix is used. The basic advantage of the proposed

Periodic wave solutions and stability analysis for the (3+1)D potentialYTSF equation arising in fluid mechanics Int. J Comput. Math. (IF 1.6) Pub Date : 20201013
Jalil Manafian; Onur Alp Ilhan; Hajar Farhan Ismael; Sizar Abid Mohammed; Saadat MazanovaThis paper aims at investigating the periodic wave solutions for the (3+1)dimensional potentialYuTodaSasaFukuyama equation, from its bilinear form, obtained using the Hirota operator. Two major cases were studied from two different ansatzes. The 3D, 2D and density representation illustrating some cases of solutions obtained have been represented from a selection of the appropriate parameters.

Finite difference schemes for time fractional Schrödinger equations via fractional linear multistep method Int. J Comput. Math. (IF 1.6) Pub Date : 20201008
Betul HicdurmazIn this paper, a finite difference based numerical approach is developed for timefractional Schrödinger equations with one or multidimensional space variables, with the use of fractional linear multistep method for time discretization and finite difference method for spatial discretization. The proposed method leads to achieve second order of accuracy for time variable. Stability and convergence theorems

Twolevel method for a timeindependent FokkerPlanck control problem Int. J Comput. Math. (IF 1.6) Pub Date : 20200917
Muhammad Munir ButtA timeindependent FokkerPlanck (FP) control problem and a twolevel numerical method are presented. We aim to formulate a control problem that controls the drift of the stochastic process so that the probability density function (PDF) attains a specific steadystate configuration. Firstorder optimality conditions, which characterize the solution of the control problem, are discretized by the ChangCooper

The Solution of Fuzzy Variational Problem and Fuzzy Optimal Control Problem under Granular Differentiability Concept Int. J Comput. Math. (IF 1.6) Pub Date : 20200915
Altyeb Mohammed Mustafa; Zengtai Gong; Mawia OsmanIn this paper, the fuzzy variational problem and fuzzy optimal control problem are considered. The granular EulerLagrange condition for the fuzzy variational problem and necessary conditions of Pontryagin type for fixed and free final state fuzzy optimal control problem are derived based on the concepts of horizontal membership function (HMF) and granular differentiability with the calculus of variations

Conservative difference scheme for fractional Zakharov system and convergence analysis Int. J Comput. Math. (IF 1.6) Pub Date : 20200915
Yao Shi; Qiang Ma; Xiaohua DingIn this paper, a highaccuracy conservative difference scheme is presented for solving the space fractional Zakharov system, which preserves the original conservative properties. By virtue of the standard energy method and mathematical induction, it is shown that the proposed scheme possesses the convergence rates of O ( τ 2 + h 4 ) . Finally, numerical examples testify the effectiveness of the conservative

Multiple rogue wave solutions for a variablecoefficient KadomtsevPetviashvili equation Int. J Comput. Math. (IF 1.6) Pub Date : 20200915
Qingchen Lu; Onur AlpIlhan; Jalil Manafian; Laleh AvazpourThe multiple rogue wave solutions method is employed for searching the multiple soliton solutions for the new variablecoefficient KadomtsevPetviashvili (KP) equation, which contains firstorder, secondorder, thirdorder, and fourthorder wave solutions. At the critical point, the secondorder derivative and Hessian matrix for only one point will be investigated and the lump solution has one maximum

Parallel multiplicative Schwarz preconditioner for solving nonselfadjoint elliptic problems Int. J Comput. Math. (IF 1.6) Pub Date : 20200914
Ruyi Zhang; Shishun LiIn this paper, a new multiplicative Schwarz method is presented for solving a system arising from the discretization of the nonselfadjoint elliptic equations. In the implementation, we apply the proposed Schwarz method as a FieldofValue (FOV) equivalent preconditioner which is accelerated with the GMRES iterative solver. By employing a strengthened CauchySchwarz inequality and a stable multilevel

CONVERGENCE ANALYSIS OF AN L 1 CONTINUOUS GALERKIN METHOD FOR NONLINEAR TIMESPACE FRACTIONAL SCHRÖDINGER EQUATIONS Int. J Comput. Math. (IF 1.6) Pub Date : 20200914
Mahmoud A. Zaky; Ahmed S. HendyThis paper develops and analyzes a finite difference/spectralGalerkin scheme for the nonlinear fractional Schrödinger equations with Riesz space and Caputo timefractional derivatives. The L 1 finite difference approximation is used for the discretization of the Caputo fractional derivative and the LegendreGalerkin spectral method is used for the spatial approximation. Additionally, by using a proper

An efficient real representation method for least squares problem of the quaternion constrained matrix equation AXB+CY D=E Int. J Comput. Math. (IF 1.6) Pub Date : 20200908
Fengxia Zhang; Musheng Wei; Ying Li; Jianli ZhaoLet η H Q k × k and η A Q k × k represent the sets of all k × k ηHermitian quaternion matrices and ηantiHermitian quaternion matrices, respectively. On the basis of the real representation matrix of a quaternion matrix and its particular structure, we convert the least squares problem of the quaternion matrix equation AXB+CY D=E over X ∈ η H Q n × n , Y ∈ η A Q k × k into the corresponding problem

On the differential equations of recurrent neural networks Int. J Comput. Math. (IF 1.6) Pub Date : 20200908
Chaouki Aouiti; Boulbaba Ghanmi; Mohsen MiraouiIn this paper, a recurrent neural networks with mixed delays which plays an important role is considered. We are concerned with the existence, uniqueness and global exponential stability of the doubly measure pseudo almost automorphic solutions. First, we establish results which are interesting on the functional space of such functions like composition theorem. Second, by employing the fixedpoint

Error estimates for the Galerkin finite element approximations of timefractional nonlocal diffusion equation Int. J Comput. Math. (IF 1.6) Pub Date : 20200907
J. Manimaran; L. ShangerganeshThe current paper is concerned to study the wellposedness, the MittagLeffler stability of solutions of timefractional nonlocal reactiondiffusion equation in bounded domain Ω ⊂ R n . We use the FaedoGalerkin approximation method with initial data in L 2 ( Ω ) to show a solution in u ∈ L ∞ ( 0 , T ; L 2 ( Ω ) ) ∩ L 2 ( 0 , T ; H 0 1 ( Ω ) ) . Further, we construct the suitable Lyapunov function

A Kind of Operator Regularization Method for Cauchy Problem of the Helmholtz Equation in a MultiDimensional Case Int. J Comput. Math. (IF 1.6) Pub Date : 20200907
Shangqin He; Xiufang FengIn this paper, a Cauchy problem of Helmholtz equation in a multidimensional case is investigated. This problem is severely illposed and small perturbations to measurement data can result in large changes in the solution. A kind of operator regularization method is proposed. The stable error estimates are obtained in the L 2 − L 2 − norm and H r − H r − norm under the conditions that m is even, md>x

Methanol futures hedging with skewed normal distribution by copula method Int. J Comput. Math. (IF 1.6) Pub Date : 20200903
Xing Yu; Xinxin Wang; Weiguo Zhang; Chengli ZhengAt present, methanol is recognized as an environmental friendly fuel additive in the world. As an environmental protection fuel, methanol is widely used in national economy. The tremendous price fluctuation of methanol makes risk avoidance an important issue. Researchers have studied the methods of methanol futures hedging. However, traditional normal hypothesis in existing literature underestimates

Optimized pairs of multidimensional ERKN methods with FSAL property for multifrequency oscillatory systems Int. J Comput. Math. (IF 1.6) Pub Date : 20200831
Yonglei Fang; Xiong YouFor the integration of multifrequency second order oscillatory systems of differential equations, multidimensional extended RungeKuttaNyström (MERKN) methods with FSAL property are investigated. Order conditions are presented. Phase properties are analyzed and nonlinear stability of MERKN methods is proved. New practical MERKN methods with optimized phase and dissipation properties and embedded

Firefly Optimization based Segmentation Technique to analyze Medical Images of Breast Cancer Int. J Comput. Math. (IF 1.6) Pub Date : 20200831
C Kaushal; Kirti Kaushal; A SinglaNature inspired algorithms emulate the mathematical and innovative techniques for nonlinear and real life problems worldwide. Imaging technology is emerging out as one of the most prominent and widely used domain in medical field such as cancerous cell nuclei detection, blood vessel segmentation, study of organs or structure of tissues and many more. Nature inspired algorithms emulate the mathematical

Hermitian and skewHermitian splitting methods for solving a tensor equation Int. J Comput. Math. (IF 1.6) Pub Date : 20200827
Tao Li; QingWen Wang; XinFang ZhangThe present paper deals with the numerical solution of nonHermitian positive definite tensor equation A ∗ N X = B under the Einstein product. Firstly, we extend the Hermitian and skewHermitian splitting (HSS) method to solve the tensor equation. Then we propose a new Hermitian splitting (NHS) method under some certain conditions, which is expected to converge faster than the HSS iteration. We also

Newtonlike methods and polynomiographic visualization of modified Thakur processes Int. J Comput. Math. (IF 1.6) Pub Date : 20200824
Gabriela Ioana Usurelu; Andreea Bejenaru; Mihai PostolacheThe content of this paper is twofold. First, it aims to provide some new Newtonlike methods for solving the rootfinding problem in the complex plane. Moreover a convergence test for the resulted methods is phrased and proved. The pseudoNewton method of Kalantari for finding the maximum modulus of complex polynomials arises as particular case of the newly proposed procedures. Secondly, a recently

A highorder implicitexplicit RungeKutta type scheme for the numerical solution of the KuramotoSivashinsky equation Int. J Comput. Math. (IF 1.6) Pub Date : 20200824
H. P. Bhatt; A. ChowdhuryThis manuscript is concerned with the development and the implementation of a numerical scheme to study the spatiotemporal solution profile of the wellknown KuramotoSivashinsky equation with appropriate initial and boundary conditions. A fourthorder RungeKutta based implicitexplicit scheme in time along with compact higherorder finite difference scheme in space is introduced. The proposed scheme

Numerical simulation for a timefractional coupled nonlinear Schrödinger equations Int. J Comput. Math. (IF 1.6) Pub Date : 20200824
Bahar Karaman; Yılmaz DereliIn this paper, we attempt to find an approximate solution of timefractional coupled nonlinear Schrödinger equations (TFCNLS) through one of the meshless approach based on radial basis functions (RBFs) collocation. The timefractional derivative is described in terms of the Caputo derivative. Discretizing the timefractional derivative of the mentioned equation, we first use a scheme of order O ( Δ

An inertial proximal alternating direction method of multipliers for nonconvex optimization Int. J Comput. Math. (IF 1.6) Pub Date : 20200820
M.T. Chao; Y. Zhang; J.B. JianThe alternating direction method of multipliers (ADMM) is an efficient method for solving separable problems. However, ADMM may not converge when there is a nonconvex function in the objective. The main contributions of this paper are proposing and analyzing an inertial proximal ADMM for a class of nonconvex optimization problems. The proposed algorithm combines the basic ideas of the proximal ADMM

An efficient extrapolation full multigrid method for elliptic problems in two and three dimensions Int. J Comput. Math. (IF 1.6) Pub Date : 20200820
Ming Li; Zhoushun Zheng; Kejia PanAn extrapolation full multigrid (EXFMG) method is proposed for solving the large linear systems arising from linear finite element discretization of two (2D) and threedimensional (3D) elliptic boundary value problems. A good initial guess on the next finer grid is constructed through combining Richardson extrapolation and quadratic FE interpolation for the numerical solutions on twolevel of grids

Fourier spectral method on sparse grids for computing ground state of manyparticle fractional Schrödinger equations Int. J Comput. Math. (IF 1.6) Pub Date : 20200820
Xueyang Li; Aiguo XiaoIn this paper, we consider the Fourier spectral method on the sparse grids for computing the ground state of the manyparticle fractional Schrödinger equations. The appropriate sparse grids for manyparticle fractional Schrödinger equations are given, and the estimation for the number of grid points is obtained. Then, the iterative scheme of the inverse power method is presented to compute the ground

Almost sure exponential stability of semiEuler numerical scheme for nonlinear stochastic functional differential equation Int. J Comput. Math. (IF 1.6) Pub Date : 20200814
Linna Liu; Feiqi DengIt is generally known that explicit solution can rarely be obtained for stochastic differential equations (SDEs), not to mention the nonlinear stochastic functional differential equation (SFDEs). Therefore, this paper proposes a numerical scheme called semiEuler numerical scheme for general SFDEs, which adapts better to the connotation of the Itô differential equations. Under a generalized polynomial

A robust pseudospectral method for numerical solution of nonlinear optimal control problems Int. J Comput. Math. (IF 1.6) Pub Date : 20200810
Mohammad Ali Mehrpouya; Haijun PengIn the present paper, a robust pseudospectral method for efficient numerical solution of nonlinear optimal control problems is presented. In the proposed method, at first, based on the Pontryagin's minimum principle, the first order necessary conditions of optimality which are led to the Hamiltonian boundary value problem are derived. Then, utilizing a pseudospectral method for discretization, the

Breather, lump, shock and travellingwave solutions for a (3+1)dimensional generalized KadomtsevPetviashvili equation in fluid mechanics and plasma physics Int. J Comput. Math. (IF 1.6) Pub Date : 20200806
ShaoHua Liu; Bo Tian; QiXing Qu; He Li; XueHui Zhao; XiaXia Du; SuSu ChenIn this paper, the investigation is conducted on a (3+1)dimensional generalized KadomtsevPetviashvili equation in fluid mechanics and plasma physics. By virtue of the homoclinictest, ansatz and polynomialexpansion methods, we construct the breather and lump solutions, shock wave solutions and travellingwave solutions respectively. We observe that the breather propagates steadily along a straight

A class of explicitimplicit alternating parallel difference methods for the twodimensional BlackScholes equation Int. J Comput. Math. (IF 1.6) Pub Date : 20200802
Ruifang Yan; Xiaozhong Yang; Shuzhen SunThe research on the numerical solution of the twodimensional BlackScholes equation (the quanto options pricing model) has important theoretical significance and practical value. We propose a class of parallel difference methods for the quanto options pricing model. On the basis of explicitimplicit alternating scheme, inner boundary values of the implicit band are given by explicit calculation of

Numerical solution of a generalized Falkner–Skan flow of a FENE–P fluid Int. J Comput. Math. (IF 1.6) Pub Date : 20200802
S. A. Khuri; A. SayfyThe purpose of this article is to introduce a novel strategy for the numerical solution of a viscous boundary layer flow past a flat plate at a non–zero pressure gradient for a viscoelastic fluid governed by the FENE–P model. The stream function of this problem obeys a generalized Falkner–Skan equation. The fundamental method is based on embedding an integral operator, expressed in terms of Green's