Email this article Finite-Difference Methods for Fractional Differential Equations of Order 1/2
- Authors: Kokurin M.Y.1, Piskarev S.I.2,3, Spreafico M.4
-
Affiliations:
- 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
- Issue: Vol 230, No 6 (2018)
- Pages: 950-960
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241062
- DOI: https://doi.org/10.1007/s10958-018-3800-6
- ID: 241062
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
M. Yu. Kokurin
Department of Physics and Mathematics, Mari State University
Author for correspondence.
Email: kokurinm@yandex.ru
Russian Federation, Yoshkar-Ola
S. I. Piskarev
Scientific Research Computer Center, M. V. Lomonosov Moscow State University; Russian Institute for Scientific and Technical Information
Email: kokurinm@yandex.ru
Russian Federation, Moscow; Moscow
M. Spreafico
Department of Mathematics and Physics, Instituto Nazionale di Fisica Nucleare
Email: kokurinm@yandex.ru
Italy, Lecce
