Document Zbl 1219.65098

Li, Dongfang; Zhang, Chengjian; Wang, Wansheng; Zhang, Yangjing

Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations. (English) Zbl 1219.65098

Appl. Math. Modelling 35, No. 6, 2711-2722 (2011).

Summary: 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.

Cited in 24 Documents

MSC:

65M20	Method of lines for initial value and initial-boundary value problems involving PDEs
65L06	Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65M06	Finite difference methods for initial value and initial-boundary value problems involving PDEs

Keywords:

implicit-explicit; predictor-corrector schemes; nonlinear parabolic problems; accuracy; stability

Software:

RKC

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Full Text: DOI

References:

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