Numerical Method of Value Boundary Problem Decision for 2D Equation of Heat Conductivity With Fractional Derivatives
| Autor: | V. D. Beybalaev, M. R. Shabanova |
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| Jazyk: | English<br />Russian |
| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, Vol 5(21), Pp 244-251 (2010) |
| Druh dokumentu: | article |
| ISSN: | 1991-8615 2310-7081 |
| DOI: | 10.14498/vsgtu776 |
| Popis: | In this work a solution is obtained for the boundary problem for two-dimensional thermal conductivity equation with derivatives of fractional order on time and space variables by grid method. Explicit and implicit difference schemes are developed. Stability criteria of these difference schemes are proven. It is shown that approximation order by time equal but by space variables it equal two. A solution method is suggested using fractional steps. It is proved that the transition module, corresponding to two half-steps, approximates the transition module for given equation. |
| Databáze: | Directory of Open Access Journals |
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