Stability analysis of the explicit difference scheme for richards equation

Fengnan Liu, Yasuhide Fukumoto, Xiaopeng Zhao

研究成果: Contribution to journalArticle

抜粋

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.

元の言語英語
記事番号352
ジャーナルEntropy
22
発行部数3
DOI
出版物ステータス出版済み - 3 1 2020

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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