Results 21 to 30 of about 928 (167)
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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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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Journal of Physics: Theories and Applications, 2018 The purpose of this paper is to show some improvements of the finite-difference time domain (FDTD) method using Numerov and non-standard finite difference (NSFD) schemes for solving the one-dimensional Schrödinger equation.
Lily Maysari Angraini, I Wayan Sudiarta
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Qualitatively Stable Schemes for the Black–Scholes Equation
Fractal and Fractional, 2023 In this paper, the Black–Scholes equation is solved using a new technique. This scheme is derived by combining the Laplace transform method and the nonstandard finite difference (NSFD) strategy. The qualitative properties of the method are discussed, and
Mohammad Mehdizadeh Khalsaraei +5 more
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Alexandria Engineering JournalA novel crossover model for monkeypox disease that incorporates Ψ-Caputo fractional derivatives is presented here, where we use a simple nonstandard kernel function Ψ(t).
N.H. Sweilam +3 more
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Nonstandard finite difference methods for solving models of population dynamics [PDF]
AIP Conference Proceedings, 2019 For years, mathematical modeling has been involved in solving problems occurred in ecology relating to population dynamics. In this paper, we solve several models of population dynamic using nonstandard finite difference methods. We compare our results of nonstandard finite difference methods with those of Euler’s and Heun’s methods. Our research shows
Kono, Especially Angelina +1 more
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Journal of New Theory, 2023 In this study, a mathematical model describing diabetes mellitus and its complications in a population is considered. Since standard numerical methods can lead to numerical instabilities, it aims to solve the problem using a nonstandard method. Among the
İlkem Turhan Çetinkaya
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