The stability conditions of finite difference schemes for schrödinger, Kuramoto‐Tszuki and heat equations
We consider various finite difference schemes for the first and the second initial‐boundary value problems for linear Kuramoto‐Tsuzuki, heat and Schrödinger equations in d‐dimensional case. Using spectral methods, we find the conditions of stability on initial data in the L2 norm. First Publ...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
1998-12-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/10002 |
| Summary: | We consider various finite difference schemes for the first and the second initial‐boundary value problems for linear Kuramoto‐Tsuzuki, heat and Schrödinger equations in d‐dimensional case. Using spectral methods, we find the conditions of stability on initial data in the L2 norm.
First Published Online: 14 Oct 2010
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| ISSN: | 1392-6292 1648-3510 |