抄録
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.
本文言語 | 英語 |
---|---|
論文番号 | 352 |
ジャーナル | Entropy |
巻 | 22 |
号 | 3 |
DOI | |
出版ステータス | 出版済み - 3月 1 2020 |
!!!All Science Journal Classification (ASJC) codes
- 情報システム
- 数理物理学
- 物理学および天文学(その他)
- 電子工学および電気工学