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 |
| 巻 | 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)
フィンガープリント Stability analysis of the explicit difference scheme for richards equation' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。
これを引用
Liu, F., Fukumoto, Y., & Zhao, X. (2020). Stability analysis of the explicit difference scheme for richards equation. Entropy, 22(3), [352]. https://doi.org/10.3390/e22030352