刘凤楠
讲师 Supervisor of Master's Candidates
Gender:Female
Alma Mater:吉林大学
Degree:Doctoral Degree
School/Department:基础教学部
Discipline:Computational Mathematics
Contact Information:15043084512
E-Mail:Liufengnan@dlut.edu.cn
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Indexed by:Journal Papers
Date of Publication:2020-03-01
Journal:ENTROPY
Included Journals:SCIE
Volume:22
Issue:3
Key Words:Richards equation; explicit difference scheme; stability analysis
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.