Propagator Method for Numerical Solution of Convective Fisher Equation

Autor:	Daiga Zaime, Janis Rimshans, Sharif E. Guseynov
Rok vydání:	2011
Předmět:	symbols.namesake Differential equation Numerical analysis Mathematical analysis Convergence (routing) General Engineering symbols Propagator Fisher equation Fisher's equation Space (mathematics) Stability (probability) Mathematics
Zdroj:	Advanced Materials Research. 222:387-390
ISSN:	1662-8985
DOI:	10.4028/www.scientific.net/amr.222.387
Popis:	Propagator numerical method was developed as an effective tool for modeling of linear advective dispersive reactive (ADR) processes [1]. In this work implicit propagator difference scheme for Fisher equation with nonlinear convection (convective Fisher equation) is elaborated. Our difference scheme has truncation errors of the second order in space and of the first order in time. Iteration process for implicit difference scheme is proposed by introducing forcing terms in the left and right sides of the difference equation. Convergence and stability criterions for the elaborated implicit propagator difference scheme are obtained.
Databáze:	OpenAIRE
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