Results 181 to 190 of about 1,124 (201)

Nonstandard finite difference methods: recent trends and further developments

Journal of Difference Equations and Applications, 2016
In this paper, we review many recent developments and further applications of nonstandard finite difference (NSFD) methods encountered in the past decade. In particular, it is a follow up article of the one published in 2005 [K.C. Patidar, On the use of non-standard finite difference methods, J. Differ. Equ. Appl. 11 (2005), pp. 735–758].
openaire   +1 more source

Comparison of the Nodal Integral Method and Nonstandard Finite-Difference Schemes for the Fisher Equation

SIAM Journal on Scientific Computing, 2001
Summary: The relationship between the so-called nonstandard finite-difference schemes and the nodal integral method (NIM) is investigated using the Fisher equation as a model problem. Exact and best finite-difference schemes are reviewed first. Next, the NIM for the Fisher equation is developed.
openaire   +1 more source

A nonstandard finite difference numerical method for an oscillatory diffusion-reaction problem

2021
Discretization schemes based on NonStandard Finite Differences (NSFD) are a modification of Standard Finite Differences (SFD) schemes in which the classical denominators are usually replaced by particular denominator functions that satisfy certain conditions.
Conte Dajana, Pagano Giovanni, Paternoster Beatrice   +2 more
openaire   +1 more source

Nonstandard finite-difference schemes for the Lotka–Volterra systems: generalization of Mickens's method

Journal of Difference Equations and Applications, 2006
Mickens [Applied Numerical Mathematics, 45, pp. 309–314, 2003] constructed a nonstandard finite difference scheme for the Lotka–Volterra predator–prey system which, for positive initial conditions, gives rise to periodic solutions. His method amazingly preserves the oscillation feature of the Lotka–Volterra system while many numerical methods give ...
openaire   +1 more source

On the Mathematical Foundation of the Nonstandard Finite Difference Method

2000
Roumen Anguelov, Jean M-S Lubuma
openaire   +1 more source

Conventional and Nonstandard Finite-Difference Time-Domain Method

2022
openaire   +1 more source

Nonstandard finite difference approximation for a generalized Fins problem

Mathematics and Computers in Simulation, 2020
A A Aderogba
exaly  

A numerical scheme for a class of generalized Burgers' equation based on Haar wavelet nonstandard finite difference method

Applied Numerical Mathematics, 2021
Amit K Verma, Mukesh Kumar Rawani, Carlo Cattani   +2 more
exaly  

Nonstandard Finite Difference Methods for Solving ODEs

2020
openaire   +1 more source

NONSTANDARD FINITE DIFFERENCE METHODS

2005
openaire   +1 more source