نتایج جستجو برای: ‎Nonstandard finite difference

تعداد نتایج: 659966  

2017
Jinhu Xu Yan Geng

In this paper, we derive a discretized multi-group epidemic model with time delay by using a nonstandard finite difference (NSFD) scheme. A crucial observation regarding the advantage of the NSFD scheme is that the positivity and boundedness of solutions of the continuous model are preserved. Furthermore, we show that the discrete model has the same equilibria, and the conditions for their stab...

Journal: :iranian journal of science and technology (sciences) 2014
m. namjoo

a nonstandard finite difference (nsfd) scheme has been constructed and analyzed for a mathematical model that describes lotka–volterra food web model. this new discrete system has the same stability properties as the continuous model and,on the whole, it preservesthe same local asymptotic stability properties. linearized stability theory and schur–cohn criteria are used for local asymptoticstab...

Journal: :Notices of the American Mathematical Society 2018

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). Numerical examples confirming then efficiency of schemes, for some differential equations are provided. In order to illustrate the accuracy of the new NSFDs, the numerical results are compared with ...

Journal: :sahand communications in mathematical analysis 2014
mohammad mehdizadeh khalsaraei fayyaz khodadosti

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). numerical examples confirming then efficiency of schemes, for some differential equations are provided. in order toillustrate the accuracy of the new nsfds, the numerical results are compared with s...

Journal: :J. Applied Mathematics 2008
Rafael J. Villanueva Abraham J. Arenas Gilberto C. González-Parra

The obesity epidemic is considered a health concern of paramount importance in modern society. In this work, a nonstandard finite difference scheme has been developed with the aim to solve numerically a mathematical model for obesity population dynamics. This interacting population model represented as a system of coupled nonlinear ordinary differential equations is used to analyze, understand,...

Journal: :J. Applied Mathematics 2013
Yuanyuan Wang Xiaohua Ding

We consider a complex autonomously driven single limit cycle oscillator with delayed feedback.The original model is translated to a two-dimensional system.Through a nonstandard finite-difference (NSFD) schemewe study the dynamics of this resulting system. The stability of the equilibriumof themodel is investigated by analyzing the characteristic equation. In the two-dimensional discrete model, ...

Journal: :computational methods for differential equations 0
mohammad mehdizadeh khalsaraei university of maragheh f. khodadosti university of maragheh

in this paper, a new implicit nonstandard finite difference scheme for conservation laws, which preserving the property of tvd (total variation diminishing) of the solution, is proposed. this scheme is derived by using nonlocal approximation for nonlinear terms of partial differential equation. schemes preserving the essential physical property of tvd are of great importance in practice. such s...

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