Published October 2019 | Version v1
Journal article Metadata-only

On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method

Creators

  • 1. University of Bonab, Department of Mathematics, Basic Science Faculty (Iran, Islamic Republic of)
  • 2. Firat University, Department of Mathematics, Science Faculty (Turkey)
  • 3. Gelisim University, Department of Computer Engineering (Turkey)

Description

In this work we offer a robust numerical algorithm based on the Lie group to solve the time-fractional diffusion-wave (TFDW) equation. Firstly, we use a fictitious time variable ξ to convert the related variable u(x, t) into a new space with one extra dimension. Then by using a composition of the group preserving scheme (GPS) and a semi-discretization of new variable, we approximate the solutions of the problem. Finally, various numerical experiments are performed to illustrate the power and accuracy of the given method.

Additional details

Identifiers

DOI
10.1140/epjp/i2019-12845-1;

Publishing Information

Journal Title
European Physical Journal Plus
Journal Volume
134
Journal Issue
10
Journal Page Range
p. 1-8
ISSN
2190-5444

INIS

Country of Publication
Germany
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
51079847
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ACCURACY; ALGORITHMS; APPROXIMATIONS; DIFFUSION EQUATIONS; LIE GROUPS; NUMERICAL SOLUTION; WAVE EQUATIONS
Descriptors DEC
CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY GROUPS

Optional Information

Copyright
Copyright (c) 2019 Societa Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature