On the numerical solution of the Dirihlets problem for the Poisson's equation with fractional order derivatives
Difference approximation for the Caputo fractional derivative of the 4−β, 1<β≤2, order is obtained in the work. The difference schemes for solving the Dirichlet problem for the Poisson equation with fractional derivatives are developed. The right part and initial data stability of difference pro...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2012-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Online Access: | http://mi.mathnet.ru/eng/vsgtu946 |
| Summary: | Difference approximation for the Caputo fractional derivative of the 4−β, 1<β≤2, order is obtained in the work. The difference schemes for solving the Dirichlet problem for the Poisson equation with fractional derivatives are developed. The right part and initial data stability of difference problem and its convergence are proved. |
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| ISSN: | 1991-8615 2310-7081 |