Suppression of numerically induced chaos with nonstandard finite difference schemes
type: Item
instance of: scholarly article
title: Suppression of numerically induced chaos with nonstandard finite difference schemes
zbMATH Open document ID: 0931.65079
DOI: 10.1016/S0377-0427(99)00076-X
author: Alicia Serfaty de Markus
author: Ronald E. Mickens
published in: Journal of Computational and Applied Mathematics
publication date: 1999-10-05T00:00:00Z
review text: Several standard and nonstandard finite difference schemes to solve a system of three ordinary differential equations that models photoconductivity in semiconductors are presented. It has been shown that integration with a conventional fourth-order Runge-Kutta algorithm produces numerical-induced chaos. The authors present a simple nonstandard forward Euler scheme that successfully eliminates these numerical instabilities.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 82D37
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 1326537
zbMATH Keywords: numerical stability
zbMATH Keywords: finite difference schemes
zbMATH Keywords: system
zbMATH Keywords: photoconductivity in semiconductors
zbMATH Keywords: numerical-induced chaos
zbMATH Keywords: forward Euler scheme
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
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full work available at URL: s0377-0427(99)00076-x
OpenAlex ID: W2083111584
description: scientific article; zbMATH DE number 1326537