This paper established the temperature differential model of temperature-controlled materials, performed the numerical simulation of the relationship between mechanical properties and temperature of temperature-controlled materials, and discussed the stress-strain relationship of temperature-controlled materials at different temperatures. The final stimulation experiment showed that temperature-controlled

In this work, the existence of Hilfer fractional integro-differential equations with nonlocal conditions are discussed. To obtain such result, we use Mo¨nch fixed point theorem and the techniques of noncompactness. An application is presented to validate the theoretical results.

In Radial Basis Functions (RBFs) methods, the distribution and the number of points have a significant effect on the accuracy, stability, and computational costs. Padua distribution is known as optimal points in the interpolation of Lagrange polynomials in a square-shaped computational domain and two-dimensional space. This point distribution was applied in rectangular and circular domains using mapping

The main purpose of this paper is to study the unloading mechanical characteristics of rock mass unloading under high stress and high water pressure. An unloading creep test of deep sandstone was conducted under different initial stresses and hydraulic pressures by using the TFD-2000 rock triaxial rheological test system. Based on the experimental results, we can explore unloading creep properties

In order to better link the stochastic diffusion stochastic differential equation with securities investment, this paper proposes a securities portfolio optimization method of the stochastic diffusion stochastic differential equation. In this paper, the stock Shanghai composite index is taken as the research object, and a new differential equation is obtained using dynamic programming method, and the

In this paper, we implement the multidomain compact finite difference method to numerically study high dimensional chaos by considering the nine-dimensional Lorenz system. Most of the existing numerical methods converge slowly for this kind of problems and this results in inaccurate approximations. Though highly accurate, the compact finite difference method becomes less accurate for problems characterized

In this paper, the new series solutions of some fractional cancer tumor models are investigated by using residual power series method (RPSM). The RPSM is explained with Maclaurin expansion for the solution. One of the advantages of this method is quick and easy calculation to find series solutions by using mathematica software package. Graphical presentations for series solutions are given to explanation

This paper represents a non-integer-order Vallis systems in which we applied the Grünwald-Letnikov tactics with Binomial coefficients in order to realize the numerical simulations to a set of equations. Recently researchers reported in the literature that it is the generalization of integer order dynamical model. Several cases involving non-integer and integer analysis with different values of non-integer

However, most heuristic algorithms are solely based on image features, due to the lack of diverse attributes of samples. Rather than rely on the existing datasets, this paper fully processes the original data. Firstly, the original videos were collected from several intelligent traffic surveillance cameras (monitoring nodes). Then, the three categories of objects in all videos were classified by a

This paper explores the inverse scattering problem that reconstructs the obstacle shape with far-field information in the acoustic environment. Taking the planar wave as the incident wave, the authors put forward a shape reconstruction method for an impenetrable obstacle with a sound-soft boundary. Firstly, the linear sampling method (LSM) was performed to acquire the prior information about the obstacle

The effect of inherited memory-time and delay-time in the formulation of a mathematical population growth model is considered. Two different numerical schemes are introduced to study analytically the propagation of population growth. We provide a graphical analysis that shows the impact of both memory-time and delay-time acting on the behavior of population density. We concluded that both delay-time

During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for λφ–preinvex functions, which are differentiable and twice differentiable, are established. Then, by employing those results, we explore the new estimates on trapezoidal type inequalities for classical

This paper innovatively combines the artificial bee colony (ABC) algorithm and the backpropagation neural network (BPNN) into a precipitation prediction model. The research data were collected by 17 stations in the Wujiang River Basin from 1961 to 2018, and compiled into a time series of precipitation data. Through wavelet analysis on precipitation series, the authors identified the features of precipitation

In the present research article, we implemented two well-known analytical techniques to solve fractional-order multi-dimensional Navier–Stokes equation. The proposed methods are the modification of Adomian decomposition method and variational iteration method by using natural transformation. Furthermore, some illustrative examples are presented to confirm the validity of the suggested methods. The

Effluent from abattoir industries containing metals ions is known to adversely affect the quality fresh water. Water pollution is a global concern and its effects are difficult to reverse. This study evaluates the efficiency of the use of the shrimp chitosan cross-linked with glutaraldehyde as an adsorbent for the removal of cations in poultry and red meat effluent. The effluent was collected from

A new fractional operator with Rabotnov fractional exponential kernel was recently introduced in the literature. In this paper, we consider the fractional diffusion equation in the context of this new fractional operator. We determine the form of the analytical solution and the displacement of the fractional diffusion equation generated by this new fractional operator. In other words, this paper is

An interactive multi-model probability data association based on Kullback-Leibler differential entropy for reliable positioning is proposed to stably track noise. When the changes in measurement noise and process noise occurs, the interactive multi-models can fuse the estimated results and by combination of probabilities in models, noise can be dynamically tracked, to improve the reliability and accuracy

This study introduces a new and promising stability approach for Caputo-Fabrizio (CF)-fractional-order system. A new fractional comparison principle for this nonsingular kernel fractional derivative is proposed. Next, a key inequality is suggested to analysis the Lyapunov-based stability of assumed systems. Afterwards, class-K functions are established to analysis of fractional Lyapunov direct method

A numerical method is proposed to solve a non-autonomous singularly perturbed parabolic differential equation with a time delay. The solution is obtained by a step by step discretisation process. First the spatial derivatives are discretised via a fitted operator finite difference scheme and then analysed for convergence. The Crank Nicolson finite difference scheme is used to solve the resulting system

Reservoir dams have varying degrees of damage and hidden dangers under long-term and complex operating conditions, engineering problems mainly focus on the gradual decrease of seepage stability and guarantee rate of deformation and stability of dam foundation. However, due to the complexity of the dam foundation structure and the surrounding environment, the performance degradation of the dam foundation

As the most basic travel mode of residents, walking trip takes place more frequently in residential districts. It is of great significance to study the land use characteristics of the residential district suitable for walking in order to create a good walking environment and land use model. In this paper, 18 residential blocks in Xi'an are taken as the research object, based on the relevant data of

This endeavour provides a new instance of understanding the velocity of a particle in Brownian motion, using the Fokker-Plank equation. Our treatment is based on the new mathematical tool invoked by Yang-Abdel-Aty-Cattani (YAC) to solve the fractional derivative on Fokker-Plank equation. The HPTM and RPSMs, are used to obtain the solution in terms of Prabhakar function. Numerical examples to extend

The main goal of this paper is to discover some new analytical solutions of a fractional form of the Bogoyavlensky–Konopelchenko equation via two new analytical schemes. This model is considered as a particular case of (2 + 1)–dimensional version of the well–known KdV equation where it describes the interaction between the Riemann wave propagating and the long-wave propagation along the x,y–axises

In this work we propose the chaotic nonlinear Lü structure in quaternion form. Our new structure is high dimensional (9D). Highlights and qualities of this model are studied. Also, we present a novel king of quaternion synchronization. We call this new sort of synchronization “quaternion complete synchronization” (QCS). The idea of QCS did not consider in writing and has some unusual properties. Some

Deep learning has been employed to build applications and greatly promoted the development of the industries from many areas. Among the deep learning algorithms, normal equation method is widely used and is very time-consuming. Thus, it is very urgent to improve normal equation method. First, we propose a systolic Gaussian elimination. Second, we propose a systolic Gauss-Jordan elimination. By integrating

In this paper, a nonlinear fractional emerging telecommunication model with higher–order dispersive cubic–quintic is studied by using two recent computational schemes. This kind of model is arising in many applications such as machine learning and deep learning, cloud computing, data science, dense sensor network, artificial intelligence convergence, integration of Internet of Things, self–service

In this research work, authors are aiming to present a computational model based on hybrid B-spline collocation method (HBCM) to solve Space Fractional Partial Differential Equation (SFPDE). The efficiency of the proposed method is shown by two test problems for various values of T. Tables and graphs are used to describe the results, which ensures that results are in an excellent agreement with analytical

In time series analysis, comparing spectral densities of several processes with almost periodic spectra is an interested problem. The contribution of this work is to give a technique to compare and to cluster the spectral densities of some independent almost periodically correlated (cyclostationary) processes. This approach is based on the limiting distribution for the periodogram and the discrete

This work proposes a new trend for determining the numerical solutions of complex real life models by the profitable implementation of a nature inspired optimization technique, which is enthused by the pollination strategy of the flowering plants. The design methodology optimizes the determined residual fitness function achieved by the utilization of the generalized Taylor series for the deliberated

As the focus of the research field of curved beam dynamics, the simulation of curved beam dynamic system has become the focus of the research of curved beam dynamics. This paper creatively takes the unit value of curved beam in the dynamic system of curved beam as the perturbation value, and solves the problem of mode superposition in the perturbation system. In the experimental verification part,

Fractional-stochastic quadratic-cubic nonlinear Schrödinger equation (QC-NLSE) describing propagation of solitons through optical fibers is analyzed. Hermite transforms, white noise analysis and an improved computational method are used to investigate uncertain solutions for QC-NLSE. Specifically, Hermite transformation is applied to convert fractional-stochastic differential equations by Wick-type

The objectives of the present study are (i) to observe the duality of solutions, and (ii) to investigate the flow and heat transfer of the hybrid nanofluid past a shrinking cylinder in the appearance of Joule heating. The single phase nanofluid model with modified thermophysical properties are used for the mathematical model. The similarity transformation simplifies the model (PDEs) into similarity

In view of the fact that the existing defog methods often ignore the key atmospheric light estimation, a method based on quadtree decomposition is proposed, which avoids the influence of bright white area on atmospheric light estimation and accurately estimates atmospheric light in the sky region. In order to avoid the limitation of manual feature extraction, three convolution scales are used to check

Estimation and control of local scouring downstream hydraulic structures is an important aspect for designing hydraulic structures. Lack predicting of local scouring can cause endangered hydraulic structures. This study performed aseries of laboratory experiments in order to look for the scouring at the downstream of triangular labyrinth weir. The effects of four different weir apex angles on the local

In several research domains, the precipitation products produced based on the Satellite images are used because of their advantage of high spatiotemporal resolution and near-global coverage. And still the products applications are limited according to the uncertainty. To facilitate using these products, it’s vital to identify and quantify their error characteristics. The objective of this study is

For the polycrystalline diamond compact (PDC) bit, the first step of rock breaking is to press the bit into the rock. However, it is very difficult to theorize the pressing process, due to the complex structure of cutting tooth, the large deformation of the rock, and the nonlinearity of the cutter-rock contact. To solve the problem, this paper takes the parabolic Mohr strength criterion as the judging

Comments are provided on some mistakes and contradictions in an article published in Alexandria Engineering Journal entitled “A dynamic model for the prediction of flue gas carbon dioxide removal by the microalga Chlorella vulgaris in column photobioreactor” by Lababpour (2018).

Photocatalytic degradation techniques have been widely used for the treatment of high organic content wastewater. The use of TiO2 photocatalytic activity combined with electroflotation process to treat a wastewater is still very rare and needs to be understood. This study proposed the UV/TiO2/Electroflotation process as a new method for the treatment of textile dyeing industry wastewater. The performance

In this paper, we have investigated the Hall and ion slip effects on the unsteady magnetohydrodynamic (MHD) free convective rotating flow over an exponentially accelerated inclined plate entrenched in a saturated porous medium with the effect of angle of inclination, variable temperature and concentration. The flow induced by the presence of heat source/sink and destructive reaction. The Laplace transform

In this study, the effect of incorporating turbulators and external mirrors into a newly single pass Solar Air Heater (SAH) was investigated experimentally. Aluminium cans were stacked over the absorber plate and used as turbulators to enhance the heater efficiency. The external mirrors are utilized to improve energy input to the SAH. The effect of external bottom and top mirrors on the SAH performance

An axial flux permanent magnet (AFPM) generator is known to be a good candidate for both low and high-speed application. In this paper, a new design of fully coreless multi-stator multi-rotor (MSMR) AFPM generator has been presented with conventional and Halbach magnet arrangement combined with an ironless (epoxy) rotor. For MSMR topology of AFPM machine, back iron is still present in the middle rotor

Nonlinear chaotic finance systems are represented by nonlinear ordinary differential equations and play a significant role in micro-and macroeconomics. In general, these systems do not have exact solutions. As a result, one has to resort to numerical solutions to study their dynamics. However, numerical solutions to these problems are sensitive to initial conditions, and a careful choice of the suitable

Air separation industry can be considered as the major source provider of oxygen and nitrogen. It is an energy-intensive process that consumes a large amount of electrical energy. So, this study is concerning on doing improvements in both the process design and the process control in order to decrease the specific energy demands of the products. Therefore, a complete steady state simulation model of

Proton Exchange Membrane Fuel Cell (PEMFC) is a promising energy source in the future of the transportation sector for powering automobiles instead of Internal Combustion Engines (ICEs). This undoubtedly related to its friendly environmental characteristics and its higher efficiency than the IC Engines. However, there are still challenges that prevent its implementation on a wide scale in which one

In this new era of technology in fluid field, hybrid nanofluid has become a fruitful interest topic among researchers due to it thermal properties and potential which gives better result compared to nanofluid in enhancing the heat transfer rate. The intention here is to present the significant effects of suction and magnetic field over a moving plate containing hybrid nanofluid with base fluid is water

In this research article, the authors intend to develop and analyze an epidemic model that describes the progression of acute and chronic HBV in a population. The threshold number R0 was obtained using the well-known next-generation matrix approach. The stability of disease-free and disease present states of the proposed model is investigated using the basic reproduction number. Results found during

IEEE 802.15.4 protocol is intended to accomplish the characteristics of low power and low rate Wireless Sensor Network. It employs carrier sense multiple access with collision avoidance (CSMA/CA) protocol to access the network using either unslotted or slotted mode. This paper concentrates on the unslotted CSMA/CA where the node tends to wait for a very limited backoff exponent value, and cannot perform

The current work intends to look into the effects of variable liquid properties on the magnetohydrodynamics of peristaltic flow exhibited by Jeffrey fluid through a compliant-walled channel. In order to make realistic approximations for the flow characteristics of blood, the channel is considered to be inclined and porous. Furthermore, convective boundary conditions and concentration slip have been

Absorption refrigeration technology was introduced to address some serious issues such as the energy crisis, increased fuel prices, and environmental problems associated with the conventional compression refrigeration systems. It has attracted an increasing deal of interest thanks to such advantages as utilization of low-grade heat sources and environment-friendly working fluid pairs. Nevertheless

In this paper, Generalized Mittag-Leffler function method (GMLFM) and Sumudu transform method (STM) are applied to study and solve the fractional order smoking model, where the derivatives are defined in the Caputo fractional sense. The disease free equilibrium (DFE) and stability of equilibrium point are studied. Lyapunov exponents and Poincare map of the model are drawn to ensure the stability of

Critique is a primary method of assessment and feedback used in architectural education. It is used extensively at the design studio where students are asked to develop, present, and discuss their interventions. The collaborative typology of design studio adds to the importance of critique as an educational tool. Students are asked to present their work and discuss it with their colleagues and professors

Numerical study has been carried out to investigate the impacts of suction and buoyancy force on heat transfer flow past a vertically moving plate in carbon nanotubes. Two kinds of base fluids, particularly water and kerosene, with single-walled and multi-walled carbon nanotubes are adopted in this analysis. The governing equations for this study are solved using the similarity transformation. The

Sedimentary and aquatic dynamics are currently causing major environmental problems in the Mediterranean countries, water and soil resources are steadily decreasing over time. Therefore, simulation and estimation of flows and sediments have currently a direct implication in the sustainable management of water and soils. In the present study, a Mediterranean watershed (North-West of Morocco) was benefited

Daylight in buildings helps to reduce energy consumption, lower negative impacts on the environment, improve human performance and increase the productivity. The current research aimed at studying the effect of advanced daylight technologies, like; lightshelf, anidolic systems, translucent materials and lightshelf combined with external reflectors, on daylight performance and visual environment in

Buildings and the environment are indistinguishably linked. The buildings become part of the physical environment, stirring the city image, living conditions, social wellbeing and economic profile. Iconic buildings are good examples for this mutual relationship. Their distinctiveness plays a key role in configuring their surroundings. And their impact ripples could extend to cover the whole city as

Traffic congestion is observed around shopping malls, mostly, due to the long queue at the parking entry gates. The queuing theory is an operation research technique that mathematically models the queuing systems consisting of randomly arriving costumers to receive service and then depart such as the parking entry gates. For a single-server mathematical queuing model, the inter-arrival time is usually

Visual Modflow software was adopted to numerically simulate the groundwater flow in unconfined strata for six case studies of previously executed projects in Egypt that were in need of dewatering systems. This software was then integrated with a modular groundwater optimizer (MGO) as an optimization model, where the genetic algorithm (GA) was the optimization solver. The models run an unmanaged nonoptimal

In present work, study of effect of different n-butanol diesel blends (5–20% v/v) on engine performance and emission were performed for different engine operating parameter. Optimization was carried out with help of Taguchi DoE method. Single Cylinder VCR Compression Ignition Engine was fuelled with different blend of diesel and n-butanol and tested at different engine settings of CR, FIP and FIT for

The objective of this paper is to study the effect of geometrical parameters on the performance of tilting pad journal bearing. COMSOL Multiphysics software is used to simulate the tilting pad journal bearing at different eccentricity ratios and pad clearances. The effect of changing pad numbers (from 3 to 6 pads) and the pads clearance angles (from 2° to 6°) on the performance parameters such as the

The forecasting performance for daily reference evapotranspiration (ET0) at six weather stations in Canada using the Penman–Monteith (P–M) model and statistically downscaled global climate model (GCM) projections was evaluated and quantified. The observational daily weather data for ET0 calculations, including the daily air temperature (Ta), solar radiation (Rs), wind speed (Uw), and relative humidity