Results 21 to 30 of about 14,242,248 (191)
Mathematical Modelling and Analysis, 2022 This paper presents the study of singularly perturbed differential equations of convection diffusion type with non-local boundary condition. The proposed numerical scheme is a combination of classical finite difference method for the initial boundary ...
Habtamu G. Debela +2 more
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A hybrid fractional optimal control for a novel Coronavirus (2019-nCov) mathematical model
Journal of Advanced Research, 2021 Introduction: Coronavirus COVID-19 pandemic is the defining global health crisis of our time and the greatest challenge we have faced since world war two. To describe this disease mathematically, we noted that COVID-19, due to uncertainties associated to
N.H. Sweilam +2 more
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An Efficient Nonstandard Finite Difference Scheme for Chaotic Fractional-Order Chen System
IEEE Access, 2020 In this paper, an efficient nonstandard finite difference scheme for the numerical solution of chaotic fractional-order Chen system is developed. In the new method, an appropriate nonlocal framework in conjunction with the Grünwald-Letnikov ...
Beijia Wang, Liang Li, Yaowu Wang
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Moving Mesh Non-standard Finite Difference Method for Non-linear Heat Transfer in a Thin Finite Rod [PDF]
Journal of Applied and Computational Mechanics, 2018 In this paper, a moving mesh technique and a non-standard finite difference method are combined, and a moving mesh non-standard finite difference (MMNSFD) method is developed to solve an initial boundary value problem involving a quartic nonlinearity ...
Morteza Bisheh-Niasar, Maryam Arab Ameri
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Abstract and Applied Analysis, 2014 Two nonstandard finite difference schemes are derived to solve the regularized long wave equation. The criteria for choosing the “best” nonstandard approximation to the nonlinear term in the regularized long wave equation come from considering the ...
E. Momoniat
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, 2019 In this paper, a modified nonstandard finite difference method for the two-dimensional Riesz space fractional reaction-diffusion equations is developed.
Gao, Hao +5 more
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The Scientific World Journal, 2022 In this work, we deal with unsteady magnetohydrodynamic allowed convection inflow of blood with a carbon nanotubes model; the single and multiwalled carbon nanotubes of human blood are used as a based fluid. Two numerical methods used to study this model
N. H. Sweilam +3 more
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Fractal and Fractional, 2022 In this paper, we propose a modified fractional diffusive SEAIR epidemic model with a nonlinear incidence rate. A constructed model of fractional partial differential equations (PDEs) is more general than the corresponding model of fractional ordinary ...
Yasir Nawaz +2 more
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Dynamically Consistent NSFD Methods for Predator-prey System [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, we introduce two nonstandard finite difference (NSFD) methods for solving the mathematical model of the Rosenzweig-MacArthur predator-prey system.
Ali Shokri +2 more
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Nonstandard finite difference methods preserving general quadratic Lyapunov functions
CoRR, 2023 In this work, we consider a class of dynamical systems described by ordinary differential equations under the assumption that the global asymptotic stability (GAS) of equilibrium points is established based on the Lyapunov stability theory with the help of quadratic Lyapunov functions.
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