Results 11 to 20 of about 252,020 (241)
Exact Finite Difference Scheme and Nonstandard Finite Difference Scheme for Burgers and Burgers-Fisher Equations [PDF]
Journal of Applied Mathematics, 2014 We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Lei Zhang, Lisha Wang, Xiaohua Ding
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Nonstandard finite difference schemes for differential equations
Sahand Communications in Mathematical Analysis, 2014 In this paper, the reorganization of the denominator of the discrete derivative and nonlocal approximation of nonlinear terms are used in the design of nonstandard finite difference schemes (NSFDs).
Mohammad Mehdizadeh Khalsaraei +1 more
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High order nonstandard finite-difference methods
Applied Mathematics and ComputationNonstandard finite difference (NSFD) methods have been considered to overcome some issues of standard methods, particularly when the numerical solution must preserve important properties of the exact solution. These issues increase for high order methods.
D. Conte, G. Pagano, T. Roldán
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A Nonstandard Finite Difference Method for a Generalized Black–Scholes Equation [PDF]
Symmetry, 2022 An implicit finite difference scheme for the numerical solution of a generalized Black–Scholes equation is presented. The method is based on the nonstandard finite difference technique. The positivity property is discussed and it is shown that the proposed method is consistent, stable and also the order of the scheme respect to the space variable is ...
Mohammad Mehdizadeh Khalsaraei +4 more
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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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A nonstandard finite difference scheme for an SEIQR epidemiological PDE model
Applied Mathematics and ComputationThis paper introduces a nonstandard finite difference (NSFD) approach to a reaction-diffusion SEIQR epidemiological model, which captures the spatiotemporal dynamics of infectious disease transmission.
Achraf Zinihi +2 more
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Exact and Nonstandard Finite Difference Schemes for Coupled Linear Delay Differential Systems [PDF]
Mathematics, 2019 In recent works, exact and nonstandard finite difference schemes for scalar first order linear delay differential equations have been proposed. The aim of the present work is to extend these previous results to systems of coupled delay differential ...
María Ángeles Castro +3 more
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A nonstandard finite difference method for solving the fractional logistic model
Journal of Applied Mathematics and Computational Mechanics. This paper proposes an alternative solution formula for the logistic model, which is derived by substituting the exponential function with the Mittag-Le ffl er function in the solution of the first-order logistic model.
Samah Ali, Eihab Bashier
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Results in Applied MathematicsIn this work, nonstandard finite difference method is presented for the numerical solution of time-fractional singularly perturbed convection–diffusion problems with a delay in time.
Worku Tilahun Aniley +1 more
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A nonstandard fitted operator finite difference method for two-parameter singularly perturbed time-delay parabolic problems [PDF]
Frontiers in Applied Mathematics and Statistics, 2023 In this article, a class of singularly perturbed time-delay two-parameter second-order parabolic problems are considered. The presence of the two small parameters attached to the derivatives causes the solution of the given problem to exhibit boundary ...
Mekashaw Ali Mohye +2 more
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