Published by De Gruyter January 1, 2012

Stability of a Numerical Method for a Space-time-fractional Telegraph Equation

Neville J Ford , Jingyu Xiao and Yubin Yan

From the journal Computational Methods in Applied Mathematics

https://doi.org/10.2478/cmam-2012-0009

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Abstract

In this paper, we introduce a numerical method for solving the space-time fractional telegraph equation. The numerical method is based on a quadrature formula approach and a stability condition for the numerical method is obtained. Two numerical examples are given and the stability regions are plotted.

Keywords: fractional telegraph equations; finite difference methods; stability regions

Received: 2011-07-01

Revised: 2012-02-24

Accepted: 2012-03-05

Published Online: 2012

Published in Print: 2012

Stability of a Numerical Method for a Space-time-fractional Telegraph Equation

Abstract

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