Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions
| Autor: | Feliksas Ivanauskas, Tadas Meškauskas, Mifodijus Sapagovas |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Applied Mathematics
010102 general mathematics Mathematical analysis Non local 01 natural sciences Parabolic partial differential equation Stability (probability) 010101 applied mathematics Computational Mathematics symbols.namesake Stability conditions Scheme (mathematics) Finite difference scheme symbols 0101 mathematics Schrödinger's cat Mathematics |
| Zdroj: | Applied Mathematics and Computation. 332:228-240 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2018.03.072 |
| Popis: | The stability of a finite difference scheme for Schrodinger, Kuramoto–Tsuzuki and parabolic equations, subject to non-local conditions with complex coefficients, is dealt with. The stability conditions, which have to be met by complex coefficients in non-local conditions, have been determined. The main result of this study is that complex coefficients together with non-local conditions cause new effects on the stability of difference scheme. Numerical experiment has revealed additional regularities in the stability conditions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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