Stability analysis of the explicit difference scheme for richards equation

Fengnan Liu, Yasuhide Fukumoto, Xiaopeng Zhao

Research output: Contribution to journalArticle

Abstract

A stable explicit difference scheme, which is based on forward Euler format, is proposed for the Richards equation. To avoid the degeneracy of the Richards equation, we add a perturbation to the functional coefficient of the parabolic term. In addition, we introduce an extra term in the difference scheme which is used to relax the time step restriction for improving the stability condition. With the augmented terms, we prove the stability using the induction method. Numerical experiments show the validity and the accuracy of the scheme, along with its efficiency.

Original languageEnglish
Article number352
JournalEntropy
Volume22
Issue number3
DOIs
Publication statusPublished - Mar 1 2020

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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