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论文类型：期刊论文

发表时间：2020-03-01

发表刊物：ENTROPY

收录刊物：SCIE

卷号：22

期号：3

关键字：Richards equation; explicit difference scheme; stability analysis

摘要：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.