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Sixth-order compact difference scheme and multigrid method for solving the Poisson equation Math. Sci. (IF 2.0) Pub Date : 2024-01-29
Abstract This paper proposes a sixth-order compact difference scheme of Poisson equation based on the sixth-order compact difference operator of the second derivative. The biggest difference between the proposed scheme and other sixth-order scheme is that the right hand contains second partial derivation of source term; this term makes the proposed scheme more accurate than other sixth-order schemes
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Existence of the solution of nonlinear fractional differential equations via new best proximity point results Math. Sci. (IF 2.0) Pub Date : 2024-01-16
Abstract In this paper, we obtain some best proximity point results by introducing the concepts of proximal p-contractions of the first type and proximal p -contractions of the second type on partial metric spaces. Thus, some famous results in the literature such as the main result of Altun et al. (Acta Math Hung 162:393–402, 2020) and Basha (J Approx Theory 163(11):1772–1781, 2011) have been extended
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Solving inverse Sturm–Liouville problem featuring a constant delay by Chebyshev interpolation method Math. Sci. (IF 2.0) Pub Date : 2024-01-02 A. Dabbaghian, S. Akbarpoor Kiasary, H. Koyunbakan, B. Agheli
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Traveling fronts of viscous Burgers’ equations with the nonlinear degenerate viscosity Math. Sci. (IF 2.0) Pub Date : 2023-09-13 Mohammad Ghani, Nurwidiyanto
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An adaptive finite element method for Riesz fractional partial integro-differential equations Math. Sci. (IF 2.0) Pub Date : 2023-08-09 E. Adel, I. L. El-Kalla, A. Elsaid, M. Sameeh
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Implicitly restarted global Krylov subspace methods for matrix equations $$AXB = C$$ Math. Sci. (IF 2.0) Pub Date : 2023-06-26 Najmeh Azizizadeh, Azita Tajaddini, Amin Rafiei
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Deterministic modelling of optimal control strategies for dengue fever transmission in two interconnected patches Math. Sci. (IF 2.0) Pub Date : 2023-05-29 Afeez Abidemi, Nur Arina Bazilah Aziz, Edson Pindza
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A new adaptive Levenberg–Marquardt parameter with a nonmonotone and trust region strategies for the system of nonlinear equations Math. Sci. (IF 2.0) Pub Date : 2023-04-25 Zahra Rezaeiparsa, Ali Ashrafi
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Improving decision-making units in performance analysis methods: a data envelopment analysis approach Math. Sci. (IF 2.0) Pub Date : 2023-04-03 Alireza Amirteimoori, Tofigh Allahviranloo, Sohrab Kordrostami, Seyed Fatemeh Bagheri
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Hahn wavelets collocation method combined with Laplace transform method for solving fractional integro-differential equations Math. Sci. (IF 2.0) Pub Date : 2023-03-30 P. Rahimkhani, Y. Ordokhani
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Determining the amount of the excess input and the output shortage of the congested decision-making units with negative data Math. Sci. (IF 2.0) Pub Date : 2023-03-10 Tahereh Shahsavan, Masoud Sanei, Ghasem Tohidi, Farhad Hosseinzadeh Lotfi, Saeid Ghobadi
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Space-time pseudospectral method for the variable-order space-time fractional diffusion equation Math. Sci. (IF 2.0) Pub Date : 2023-02-21 Rupali Gupta, Sushil Kumar
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Theoretical and numerical bifurcation analysis of a predator–prey system with ratio-dependence Math. Sci. (IF 2.0) Pub Date : 2023-02-03 Z. Eskandari, Z. Avazzadeh, R. Khoshsiar Ghaziani
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A high-order numerical method for solving nonlinear derivative-dependent singular boundary value problems using trigonometric B-spline basis function Math. Sci. (IF 2.0) Pub Date : 2023-01-31 Mohammad Prawesh Alam, Arshad Khan
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Numerical solution of fractional pantograph equations via Müntz–Legendre polynomials Math. Sci. (IF 2.0) Pub Date : 2023-01-25 M. Tavassoli Kajani
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A novel computational approach to the local fractional Lonngren wave equation in fractal media Math. Sci. (IF 2.0) Pub Date : 2023-01-14 Kang-Le Wang
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An explicit two-stage truncated Runge–Kutta method for nonlinear stochastic differential equations Math. Sci. (IF 2.0) Pub Date : 2023-01-12 Amir Haghighi
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Stability and convergence of a new hybrid method for fractional partial differential equations Math. Sci. (IF 2.0) Pub Date : 2023-01-10 Kokab Chalambari, Hamideh Ebrahimi, Zeinab Ayati
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A novel adaptive meshless method for solving the nonlinear time fractional telegraph equations on arbitrary domains Math. Sci. (IF 2.0) Pub Date : 2023-01-02 Lin Li, Zhong Chen, Hong Du, Wei Jiang, Biao Zhang
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The application of fuzzy transform method to the initial value problems of linear differential–algebraic equations Math. Sci. (IF 2.0) Pub Date : 2022-12-30 S. Mirzajani, F. Bahrami, S. Shahmorad
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A novel operational matrix method based on Genocchi polynomials for solving n-dimensional stochastic Itô–Volterra integral equation Math. Sci. (IF 2.0) Pub Date : 2022-12-17 P. K. Singh, S. Saha Ray
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Exploration of some novel solutions to a coupled Schrödinger–KdV equations in the interactions of capillary-gravity waves Math. Sci. (IF 2.0) Pub Date : 2022-12-16 Dipankar Kumar, Ahmet Yildirim, Mohammed K. A. Kaabar, Hadi Rezazadeh, Mohammad Esmael Samei
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Efficient sixth-order finite difference method for the two-dimensional nonlinear wave equation with variable coefficient Math. Sci. (IF 2.0) Pub Date : 2022-11-29 Shuaikang Wang, Yongbin Ge
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Numerical Hilbert space solution of fractional Sobolev equation in $$\left(1+1\right)$$ -dimensional space Math. Sci. (IF 2.0) Pub Date : 2022-11-27 Omar Abu Arqub, Hamed Alsulami, Mohammed Alhodaly
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An inverse fractional diffusion problem of source identification type Math. Sci. (IF 2.0) Pub Date : 2022-11-20 A. Janmohammadi, J. Damirchi, S. M. Mahmoudi
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A Legendre-spectral method for Hadamard fractional partial differential equations Math. Sci. (IF 2.0) Pub Date : 2022-11-20 Ghafirlia Istafa, Mujeeb ur Rehman
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A generalized Gegenbauer wavelet collocation method for solving p-type fractional neutral delay differential and delay partial differential equations Math. Sci. (IF 2.0) Pub Date : 2022-11-15 Mo Faheem, Arshad Khan, Ömer Oruç
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An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme Math. Sci. (IF 2.0) Pub Date : 2022-11-08 Muaz Seydaoğlu
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A discussion concerning approximate controllability results for Hilfer fractional evolution equations with time delay Math. Sci. (IF 2.0) Pub Date : 2022-10-15 K. Kavitha, V. Vijayakumar
The existence and approximate controllability outcomes for Hilfer fractional differential equations are investigated in this study. We study the existence results from fractional operations and Banach’s fixed point approach. Using the sequential approach, we can show that fractional control systems with time delays are approximately controllable. An interesting example has also been given to prove
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A neural computational method for solving renewal delay integro-differential equations constrained by the half-line Math. Sci. (IF 2.0) Pub Date : 2022-10-03 Ömür Kıvanç Kürkçü
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Numerical and analytical solution to a conformable fractional Fornberg–Whitham equation Math. Sci. (IF 2.0) Pub Date : 2022-09-24 Cyril D. Enyi, Eze R. Nwaeze, McSylvester E. Omaba
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Application of fixed point theorem on the study of the existence of solutions in some fractional stochastic functional integral equations Math. Sci. (IF 2.0) Pub Date : 2022-09-16 Manochehr Kazemi, Amar Deep, Alireza Yaghoobnia
In this paper, the conditions for the existence of a solution for fractional stochastic functional integral in Banach space are investigated. For this purpose, the concept of noncompactness measurement and Petryshyn’s fixed point theorem have been done to achieve the desired result. In general, any phenomenon that encounters some kind of instability or is related to a stochastic process is expressed
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Spectral collocation method for solving multi-term fractional integro-differential equations with nonlinear integral Math. Sci. (IF 2.0) Pub Date : 2022-09-10 Yong-Suk Kang, Son-Hyang Jo
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Numerical solutions of two-dimensional PDE-constrained optimal control problems via bilinear pseudo-spectral method Math. Sci. (IF 2.0) Pub Date : 2022-08-20 Fereshteh Samadi, Aghileh Heydari, Sohrab Effati
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Lyapunov-type inequality and existence of solution for a nonlinear fractional differential equation with anti-periodic boundary conditions Math. Sci. (IF 2.0) Pub Date : 2022-07-17 A. Hamiaz
In this paper, we study a nonlinear fractional boundary value problem involving fractional derivative with nonsingular Mittag–Leffler kernels and an anti-periodic boundary conditions. Some results of the existence of solutions of the problem will be given under different assumptions on the function \(\Theta\) and the Lyapunov-type inequality will be obtained in the case \(\Theta (t,{{\varvec{z}}}(t))=\eta
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Fractional Bell collocation method for solving linear fractional integro-differential equations Math. Sci. (IF 2.0) Pub Date : 2022-07-14 Şuayip Yüzbaşı
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Taylor wavelets collocation technique for solving fractional nonlinear singular PDEs Math. Sci. (IF 2.0) Pub Date : 2022-07-12 Nasser Aghazadeh, Amir Mohammadi, Gamze Tanoglu
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The Exponential–Weibull logarithmic transformation with different estimation approaches under the right censoring scheme Math. Sci. (IF 2.0) Pub Date : 2022-07-13 Seyed Rasuol Hosseini, Einolah Deiri, Ezzatallah Baloui Jamkhaneh
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Finite-time stability in measure for nabla uncertain discrete linear fractional order systems Math. Sci. (IF 2.0) Pub Date : 2022-07-06 Qinyun Lu, Yuanguo Zhu
With the development of mathematical theory, fractional order equation is becoming a potential tool in the context of neural networks. This paper primarily concerns with the stability for systems governed by the linear fractional order uncertain difference equations, which may properly portray neural networks. First, the solutions of these linear difference equations are provided. Secondly, the definition
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Interpolative multivalued $$\alpha _{*}$$ α ∗ -dominated contractive functions in dislocated b-metric spaces and some fixed point results Math. Sci. (IF 2.0) Pub Date : 2022-07-03 Abdullah Shoaib, Usman Mir
The aim of this paper is to find out fixed point results satisfying interpolative F-dominated contractive conditions on a closed ball for two \(\alpha _{*}\)-dominated multivalued functions in dislocated b-metric spaces. We shall explain our result with an example.
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Existence of solutions for the nonlinear integro-differential system Math. Sci. (IF 2.0) Pub Date : 2022-06-29 Chenkuan Li, Reza Saadati, Fatemeh Mottaghi, Mohammad Bagher Ghaemi
This paper studies the existence of solutions for a nonlinear Liouville–Caputo integro-differential system with initial conditions in a Banach space. The results derived are new and based on Babenko’s approach, Leray–Schauder’s alternative and the multivariate Mittag-Leffler function. We also present illustrative examples to demonstrate the application of our main theorem.
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Applications of Sine–Cosine wavelets method for solving the generalized Hirota–Satsuma coupled KdV equation Math. Sci. (IF 2.0) Pub Date : 2022-06-26 Naser Azizi, Reza Pourgholi
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A computational method for nonlinear Burgers’ equation using quartic-trigonometric tension B-splines Math. Sci. (IF 2.0) Pub Date : 2022-06-27 Gulsemay Yigit, Ozlem Ersoy Hepson, Tofigh Allahviranloo
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On the modeling and numerical discretizations of a chaotic system via fractional operators with and without singular kernels Math. Sci. (IF 2.0) Pub Date : 2022-06-24 Ndolane Sene
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Integration of the RLW equation using higher-order predictor–corrector scheme and quintic B-spline collocation method Math. Sci. (IF 2.0) Pub Date : 2022-05-31 Bülent Saka, İdris Dağ, Ozlem Ersoy Hepson
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Computational algorithm for financial mathematical model based on European option Math. Sci. (IF 2.0) Pub Date : 2022-05-30 Nikhil Srivastava, Aman Singh, Vineet Kumar Singh
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Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem Math. Sci. (IF 2.0) Pub Date : 2022-05-23 Asyieh Ebrahimzadeh, Samaneh Panjeh Ali Beik
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Numerical solution of Coupled Viscous Burgers’ equations using RBF-QR method Math. Sci. (IF 2.0) Pub Date : 2022-05-19 Zahra Dehghan, Jalil Rashidinia
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The exact solutions of the conformable time fractional version of the generalized Pochhammer–Chree equation Math. Sci. (IF 2.0) Pub Date : 2022-05-13 Muneerah AL Nuwairan
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On mild solutions of fractional impulsive differential systems of Sobolev type with fractional nonlocal conditions Math. Sci. (IF 2.0) Pub Date : 2022-05-12 K. Karthikeyan, G. S. Murugapandian, Z. Hammouch
This paper concerns the application of the monotone iterative technique in conjunction with the lower and upper solution techniques to investigate the existence of mild solutions and their uniqueness for fractional impulsive differential systems of the Sobolev type with fractional order nonlocal conditions. To obtain the adequate requirements, noncompactness estimates and the generalized Gronwall inequality
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A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis Math. Sci. (IF 2.0) Pub Date : 2022-05-06 Mohammad Izadi, Şuayip Yüzbaşı, Waleed Adel
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Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain Math. Sci. (IF 2.0) Pub Date : 2022-04-27 Khalid Iskafi, Abdelaziz Ahammou
In this work we establish two main results. The first one deals with the existence of regular equilibrium state as a positive ground state solution to a time-independent quasi-linear elliptic problem with nonlinear source terms. We impose a polynomial control on the source terms and we adjust the forms to use a variational approach. For the second result we prove a necessary condition for existence
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An error estimation of a Nyström type method for integral-algebraic equations of index-1 Math. Sci. (IF 2.0) Pub Date : 2022-04-17 Sayed Arsalan Sajjadi, Hashem Saberi Najafi, Hossein Aminikhah
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Measures of noncompactness in the space of regulated functions $$R (J, \mathbb {R}^{\infty })$$ R ( J , R ∞ ) and its application to some nonlinear infinite systems of fractional differential equations Math. Sci. (IF 2.0) Pub Date : 2022-04-06 Hamid Mehravaran, Hojjatollah Amiri Kayvanloo, Reza Allahyari
We study the following infinite systems of fractional boundary value problem: $$\begin{aligned} {\left\{ \begin{array}{ll}^{c}D^qv(\tau )=f(t, v^1(\tau ), v^2(\tau ), \ldots ),\ q\in (n-1, n],\ n\ge 2 \ \tau \in [0,T],\ &{}\quad \\ v(0)=0, v^{'}(0)=0, \ldots , v^{(n-2)}(0)=0,\ v(T)=\displaystyle \sum _{\varsigma =1}^{m}\gamma _\varsigma [I^{\beta _\varsigma }v(\eta _\varsigma )-I^{\beta _\varsigma
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Numerical solution of fractional delay Volterra integro-differential equations by Bernstein polynomials Math. Sci. (IF 2.0) Pub Date : 2022-04-01 L. Mansouri, Z. Azimzadeh
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A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order Math. Sci. (IF 2.0) Pub Date : 2022-03-30 Kottakkaran Sooppy Nisar, Firdous A. Shah
Owing to increasing applications of the fractional relaxation–oscillation equations across various scientific endeavours, a considerable amount of attention has been paid for solving these equations. Our endeavour is to develop an elegant numerical scheme based on Gegenbauer wavelets for solving the fractional-order relaxation–oscillation equations. To facilitate the narrative, the Gegenbauer wavelets
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Differential and integrodifferential equations for Gould–Hopper–Frobenius–Euler polynomials Math. Sci. (IF 2.0) Pub Date : 2022-03-30 Shabir Ahmad Mir, K. S. Nisar, Tawheeda Akhter, Serkan Araci
The fundamental aim of this paper is to derive the recurrence relation, shift operators, differential, integrodifferential and partial differential equations for Gould–Hopper–Frobenius–Euler polynomials using factorization method, which may be utilised in solving some emerging problems in different branches of science and technology.
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Numerical study of nonlinear generalized Burgers–Huxley equation by multiquadric quasi-interpolation and pseudospectral method Math. Sci. (IF 2.0) Pub Date : 2022-03-11 Mahbubeh Rahimi, Hojatollah Adibi, Majid Amirfakhrian
This paper develops an efficient numerical meshless method to solve the nonlinear generalized Burgers–Huxley equation (NGB-HE). The proposed method approximates the unknown solution in the two stages. First, the \(\theta\)-weighted finite difference technique is adopted to discretize the temporal dimension. Second, a combination of the multiquadric quasi-interpolation and pseudospectral (denoted by
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Filter design based on the fractional Fourier transform associated with new convolutions and correlations Math. Sci. (IF 2.0) Pub Date : 2022-03-08 L. P. Castro, L. T. Minh, N. M. Tuan
We introduce new convolutions and correlations associated with the Fractional Fourier Transform (FrFT) which present a significant simplicity in both the time and FrFT domains. This allows for several consequences and applications, among which we highlight the design of some multiplicative filters in the FrFT domain having a significant simplicity when compared with the already known ones. Thus, this
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A new numerical strategy for solving nonlinear singular Emden-Fowler delay differential models with variable order Math. Sci. (IF 2.0) Pub Date : 2022-03-06 Hoda F. Ahmed, Marina B. Melad
The present study is related to the numerical solutions of new mathematical models based on the variable order Emden-Fowler delay differential equations. The shifted fractional Gegenbauer, \(C_{S,j}^{(\alpha ,\mu )}(t),\) operational matrices (OMs) of VO differentiation, in conjunction with the spectral collocation method are used to solve aforementioned models numerically. The VO operator of differentiation