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

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.

Authors:
 [1];  [2];  [3]
  1. Mari State University, Department of Physics and Mathematics (Russian Federation)
  2. M. V. Lomonosov Moscow State University, Scientific Research Computer Center (Russian Federation)
  3. Instituto Nazionale di Fisica Nucleare, Department of Mathematics and Physics (Italy)
Publication Date:
OSTI Identifier:
22771254
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 6; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; APPROXIMATIONS; CONVERGENCE; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; TIME RESOLUTION

Citation Formats

Kokurin, M. Yu., E-mail: kokurinm@yandex.ru, Piskarev, S. I., E-mail: piskarev@gmail.com, and Spreafico, M., E-mail: mauro.spreafico@unisalento.it. Finite-Difference Methods for Fractional Differential Equations of Order 1/2. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3800-6.
Kokurin, M. Yu., E-mail: kokurinm@yandex.ru, Piskarev, S. I., E-mail: piskarev@gmail.com, & Spreafico, M., E-mail: mauro.spreafico@unisalento.it. Finite-Difference Methods for Fractional Differential Equations of Order 1/2. United States. doi:10.1007/S10958-018-3800-6.
Kokurin, M. Yu., E-mail: kokurinm@yandex.ru, Piskarev, S. I., E-mail: piskarev@gmail.com, and Spreafico, M., E-mail: mauro.spreafico@unisalento.it. Tue . "Finite-Difference Methods for Fractional Differential Equations of Order 1/2". United States. doi:10.1007/S10958-018-3800-6.
@article{osti_22771254,
title = {Finite-Difference Methods for Fractional Differential Equations of Order 1/2},
author = {Kokurin, M. Yu., E-mail: kokurinm@yandex.ru and Piskarev, S. I., E-mail: piskarev@gmail.com and Spreafico, M., E-mail: mauro.spreafico@unisalento.it},
abstractNote = {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.},
doi = {10.1007/S10958-018-3800-6},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 6,
volume = 230,
place = {United States},
year = {2018},
month = {5}
}