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https://research.matf.bg.ac.rs/handle/123456789/2637| Title: | A Finite Difference Scheme for a Fractional Super-diffusion Equation with Concentrated Capacity | Authors: | Delić, Aleksandra | Affiliations: | Numerical Mathematics and Optimization | Issue Date: | 2014 | Rank: | M34 | Publisher: | Niš : Prirodno-matematički fakultet | Related Publication(s): | Book of Abstracts of 13th Serbian Mathematical Congress | Conference: | Srpski matematički kongres=Serbian Mathematical Congress (13 ; 2014 ; Vrnjačka Banja) | Abstract: | In this paper we consider finite-difference scheme for a fractional super-diffusion equation with the coefficient at the time derivative containing Dirac delta distribution. The stability and convergence of the scheme are proven using the discrete energy method. Estimate for the rate of the convergence compatible with the smoothness of the solution is obtained. A numerical example demonstrates the theoretical results. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/2637 |
| Appears in Collections: | Research outputs |
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