Stability Analysis of the Explicit Difference Scheme for Richards Equation
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.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2020 |
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| Erschienen: |
2020 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:22 |
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| Enthalten in: |
Entropy (Basel, Switzerland) - 22(2020), 3 vom: 18. März |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Liu, Fengnan [VerfasserIn] |
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| Links: |
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| Themen: |
Explicit difference scheme |
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| Anmerkungen: |
Date Revised 10.12.2020 published: Electronic Citation Status PubMed-not-MEDLINE |
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| doi: |
10.3390/e22030352 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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| PPN (Katalog-ID): |
NLM318519321 |
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| 520 | |a 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 | ||
| 650 | 4 | |a Journal Article | |
| 650 | 4 | |a Richards equation | |
| 650 | 4 | |a explicit difference scheme | |
| 650 | 4 | |a stability analysis | |
| 700 | 1 | |a Fukumoto, Yasuhide |e verfasserin |4 aut | |
| 700 | 1 | |a Zhao, Xiaopeng |e verfasserin |4 aut | |
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