Results 121 to 130 of about 252,020 (241)

Improved numerical schemes to solve general fractional diabetes models

Alexandria Engineering Journal
In this article, we propose a new class of nonlinear fractional differential equations of diabetes disease based on the concept of Caputo fractional derivative.
Muner M. Abou Hasan, Ahlam M. Alghanmi, Hannah Al Ali, Zindoga Mukandavire   +3 more
doaj   +1 more source

Development of new harmonic euler using nonstandard finite difference technique for solving stiff problems

, 2015
Solving stiff problem always required very tiny size of meshes if it is solved via traditional numerical algorithm. Using insufficient of mesh size, will triggered instabilities.
Nur Asiha Binti Sazali
core  

NONSTANDARD FINITE DIFFERENCE SCHEMES FOR SOLVING A MODIFIED EPIDEMIOLOGICAL MODEL FOR COMPUTER VIRUSES

, 2018
In this paper we construct two families of nonstandard finite difference (NSFD) schemes preserving the essential properties of a computer virus propagation model, such as positivity, boundedness and stability.
Hoang, Tuan Manh, Dang, Long Quang, Dang, A Quang   +2 more
core   +1 more source

Nonstandard finite difference scheme associated with harmonic mean averaging for the nonlinear Klein-Gordon equation

, 2017
In this paper, we demonstrate a modified scheme for solving the nonlinear KleinGordon equation of PDE hyperbolic types. The Klein-Gordon equation is a relativistic wave equation version of the Schrodinger equation, which is widely used in quantum ...
Husna Zayadi
core  

Low Volatility Options and Numerical Diffusion of Finite Difference Schemes [PDF]

, 2010
2000 Mathematics Subject Classification: 65M06, 65M12.In this paper we explore the numerical diffusion introduced by two nonstandard finite difference schemes applied to the Black-Scholes partial differential equation for pricing discontinuous payoff and
Milev, Mariyan, Tagliani, Aldo
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Nonstandard finite difference method for nonlinear Riesz space fractional reaction-diffusion equation

, 2019
In this paper, a modified nonstandard finite difference method for the two-dimensional Riesz space fractional reaction-diffusion equations is developed.
Gao, Hao, Luo, Xiaoyu, Ying, Wenjun, Guo, Meifang, Cai, Li, Li, Yiqiang   +5 more
core  

Extending nonstandard finite difference schemes rules to systems of nonlinear ODEs with constant coefficients

International audienceIn this paper, we present a reformulation of Mickens' rules for nonstandard finite difference (NSFD) scheme to adapt them to systems of ODEs.
Bidégaray-Fesquet, Brigitte, Songolo, Marc, E.   +1 more
core   +1 more source

HIGHER-ORDER NONSTANDARD FINITE DIFFERENCE METHODS FOR AUTONOMOUS DIFFERENTIAL EQUATIONS WITH APPLICATIONS IN MATHEMATICAL ECOLOGY

, 2022
Nonstandard finite difference (NSFD) methods have been widely used to numerically solve various problems in biology. In recent years, NSFD methods have been proposed that preserve essential properties of the solutions of general autonomous differential ...
Alalhareth, Fawaz Karhan R
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A Non-Standard Finite Difference Scheme for Time-Fractional Singularly Perturbed Convection–Diffusion Problems

Fractal and Fractional
This paper introduces a stable non-standard finite difference (NSFD) method to solve time-fractional singularly perturbed convection–diffusion problems. The fractional derivative in time is defined in the Caputo sense.
Pramod Chakravarthy Podila, Rahul Mishra, Higinio Ramos   +2 more
doaj   +1 more source

A Parameter Robust Method for Singularly Perturbed Delay Differential Equations

Journal of Inequalities and Applications, 2010
Uniform finite difference methods are constructed via nonstandard finite difference methods for the numerical solution of singularly perturbed quasilinear initial value problem for delay differential equations. A numerical method is constructed for this
Erdogan Fevzi
doaj