A comparative study of ADI splitting methods for parabolic equations in two space dimensions

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摘要

The main purpose of the paper is a numerical comparison of three integration methods for semi-discrete parabolic partial differential equations in two space variables. Linear as well as nonlinear,equations are considered. The integration methods are the well-known ADI method of Peaceman and Rachford, a global extrapolation scheme of the classical ADI method to order four and a fourth order, four-step ADI splitting method.

论文关键词:Numerical analysis,parabolic partial differential equations,method of lines,ADI splitting methods,global extrapolation

论文评审过程:Received 28 June 1983, Available online 10 July 2002.

论文官网地址:https://doi.org/10.1016/0377-0427(84)90056-6