Results 151 to 160 of about 803 (177)

NONSTANDARD FINITE DIFFERENCE METHODS AND BIOLOGICAL MODELS

2005
Sophia R -J Jang
exaly   +2 more sources

Nonstandard Finite Difference Scheme for the Epidemic Model with Vaccination

Journal of Mathematical Sciences
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tumurkhuyag, Badarch, Batgerel, Balt
openaire   +2 more sources

A nonstandard finite-difference scheme for the Lotka–Volterra system

Applied Numerical Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

An explicit nonstandard finite difference scheme for the FitzHugh–Nagumo equations

International Journal of Computer Mathematics, 2018
In this work, we consider numerical solutions of the FitzHugh–Nagumo system of equations describing the propagation of electrical signals in nerve axons.
Michael Chapwanya, Olaoluwa Ayodeji Jejeniwa, Appanah Rao Appadu, Jean M.-S. Lubuma   +3 more
openaire   +2 more sources

A new positivity‐preserving nonstandard finite difference scheme for the DWE

Numerical Methods for Partial Differential Equations, 2005
AbstractAn improved positivity‐preserving nonstandard finite difference scheme for the linear damped wave equation is presented. Unlike an earlier such scheme developed by the authors, the new scheme involves three time levels and is therefore able to include the effects of the equation's relaxation coefficient. © 2005 Wiley Periodicals, Inc.
Mickens, Ronald E., Jordan, P. M.
openaire   +2 more sources

Nonstandard Finite Difference Schemes for Differential Equations

Journal of Difference Equations and Applications, 2002
This paper gives an introduction to nonstandard finite difference methods useful for the construction of discrete models of differential equations when numerical solutions are required. While the general rules for such schemes are not precisely known at the present time, several important criterion have been found.
openaire   +1 more source

Nonstandard Finite Difference Theta Approaches to the Predator–Prey System

Mathematical Methods in the Applied Sciences
ABSTRACT In this paper, we propose nonstandard finite difference theta schemes for a well‐known Lotka‐Volterra model without the Allee effect and investigate the dynamical behavior of the discretized system. We prove that the scheme is dynamically consistent with the continuous model, preserving key properties such as the positivity ...
Nihal Özdoğan, Bahar Arslan
openaire   +2 more sources

Nonstandard Finite Difference Schemes

2020
openaire   +2 more sources

High-accuracy Yee algorithm based on nonstandard finite differences: new developments and verifications

IEEE Transactions on Antennas and Propagation, 2002
J B Cole
exaly  

Applications of Nonstandard Finite Difference Models to Computational Electromagnetics

Journal of Difference Equations and Applications, 2003
James B Cole, Saswatee Banerjee
exaly