Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/66733
Título: | High-order methods for systems of fractional ordinary differential equations and their application to time-fractional diffusion equations |
Autor(es): | Ferrás, Luís Jorge Lima Ford, Neville Morgado, Maria Luisa Rebelo, Magda |
Palavras-chave: | Fractional diffusion Caputo derivative Nonpolynomial collocation method Polynomial collocation method Method of lines |
Data: | 2021 |
Editora: | Springer |
Revista: | Mathematics in Computer Science |
Citação: | Ferrás, L. L., Ford, N., Morgado, M. L., & Rebelo, M. (2020, January 16). High-Order Methods for Systems of Fractional Ordinary Differential Equations and Their Application to Time-Fractional Diffusion Equations. Mathematics in Computer Science. Springer Science and Business Media LLC. http://doi.org/10.1007/s11786-019-00448-x |
Resumo(s): | Taking into account the regularity properties of the solutions of fractional differential equations, we develop a numerical method which is able to deal, with the same accuracy, with both smooth and nonsmooth solutions of systems of fractional ordinary differential equations of the Caputo-type. We provide the error analysis of the numerical method and we illustrate its feasibility and accuracy through some numerical examples. Finally, we solve the time-fractional diffusion equation using a combination of the method of lines and the newly developed hybrid method. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/66733 |
DOI: | 10.1007/s11786-019-00448-x |
ISSN: | 1661-8270 |
Versão da editora: | https://link.springer.com/article/10.1007%2Fs11786-019-00448-x |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Ferrás2020_Article_High-OrderMethodsForSystemsOfF.pdf | 292,29 kB | Adobe PDF | Ver/Abrir |