Finite-Difference Methods for Fractional Differential Equations of Order 1/2
- Autores: Kokurin M.1, Piskarev S.2,3, Spreafico M.4
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Afiliações:
- Department of Physics and Mathematics, Mari State University
- Scientific Research Computer Center, M. V. Lomonosov Moscow State University
- Russian Institute for Scientific and Technical Information
- Department of Mathematics and Physics, Instituto Nazionale di Fisica Nucleare
- Edição: Volume 230, Nº 6 (2018)
- Páginas: 950-960
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241062
- DOI: https://doi.org/10.1007/s10958-018-3800-6
- ID: 241062
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Resumo
In this work, we study approximations of solutions of fractional differential equations of order 1/2. We present a new method of approximation and obtain the order of convergence. The presentation is given within the abstract framework of a semidiscrete approximation scheme, which includes finite-element methods, finite-difference schemes, and projection methods.
Sobre autores
M. Kokurin
Department of Physics and Mathematics, Mari State University
Autor responsável pela correspondência
Email: kokurinm@yandex.ru
Rússia, Yoshkar-Ola
S. Piskarev
Scientific Research Computer Center, M. V. Lomonosov Moscow State University; Russian Institute for Scientific and Technical Information
Email: kokurinm@yandex.ru
Rússia, Moscow; Moscow
M. Spreafico
Department of Mathematics and Physics, Instituto Nazionale di Fisica Nucleare
Email: kokurinm@yandex.ru
Itália, Lecce