Finite-Difference Methods for Fractional Differential Equations of Order 1/2


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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


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