Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/39268
Título: | Comparison of different numerical methods for the solution of the time-fractional reaction-diffusion equation with variable diffusion coefficient |
Autor(es): | Morgado, M.L. Ferrás, Luís Jorge Lima Rebelo, M. |
Palavras-chave: | Time-fractional diffusion equation Caputo derivative Chebyshev polynomials |
Data: | 2015 |
Editora: | International Conference on Mathematical Methods in Science and Engineering (CMMSE) |
Resumo(s): | In this work we perform a comparison of two different numerical schemes for the solution of the time-fractional diffusion equation with variable diffusion coefficient and a nonlinear source term. The two methods are the implicit numerical scheme presented in [M.L. Morgado, M. Rebelo, Numerical approximation of distributed order reaction- diffusion equations, Journal of Computational and Applied Mathematics 275 (2015) 216-227] that is adapted to our type of equation, and a colocation method where Chebyshev polynomials are used to reduce the fractional differential equation to a system of ordinary differential equations |
Tipo: | Artigo em ata de conferência |
URI: | https://hdl.handle.net/1822/39268 |
ISBN: | 978-84-617-2230-3 |
Versão da editora: | http://cmmse.usal.es/cmmse2015/images/stories/congreso/Proceedings_CMMSE_2015.pdf |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | IPC - Textos completos em actas de encontros científicos internacionais com arbitragem |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Proceedings_CMMSE_2015.pdf | 228,67 kB | Adobe PDF | Ver/Abrir |