Article ID Journal Published Year Pages File Type
1706100 Applied Mathematical Modelling 2011 12 Pages PDF
Abstract

In the present paper, a family of predictor–corrector (PC) schemes are developed for the numerical solution of nonlinear parabolic differential equations. Iterative processes are avoided by use of the implicit–explicit (IMEX) methods. Moreover, compared to the predictor schemes, the proposed methods usually have superior accuracy and stability properties. Some confirmation of these are illustrated by using the schemes on the well-known Fisher’s equation.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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