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Application of Operator Splitting to Solve Reaction-Diffusion Equations ∗

By Tamás Ladics

Abstract

Approximate solutions of systems of semilinear ordinary differential equations obtained by different splitting methods are investigated. The local error in the numerical solution of such semilinear problems is evaluated. The order of different splitting methods coupled with numerical methods of different order is calculated symbolically and on a test problem –the spatially discretized Fisher equation – numerically.

Year: 2014
OAI identifier: oai:CiteSeerX.psu:10.1.1.417.3695
Provided by: CiteSeerX
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