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.
Received: 2011-07-01
Revised: 2012-02-24
Accepted: 2012-03-05
Published Online: 2012
Published in Print: 2012
© Institute of Mathematics, NAS of Belarus
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Articles in the same Issue
- Schwarz Methods for a Preconditioned WOPSIP Method for Elliptic Problems
- Stability of a Numerical Method for a Space-time-fractional Telegraph Equation
- Stability of Finite-difference Schemes for Semilinear Multidimensional Parabolic Equations
- Equal-order Finite Elements for the Hydrostatic Stokes Problem
- The Transmission Problem for the Helmholtz Equation in R³
- Efficient Halley-like Methods for the Inclusion of Multiple Zeros of Polynomials
Keywords for this article
fractional telegraph equations;
finite difference methods;
stability regions
Articles in the same Issue
- Schwarz Methods for a Preconditioned WOPSIP Method for Elliptic Problems
- Stability of a Numerical Method for a Space-time-fractional Telegraph Equation
- Stability of Finite-difference Schemes for Semilinear Multidimensional Parabolic Equations
- Equal-order Finite Elements for the Hydrostatic Stokes Problem
- The Transmission Problem for the Helmholtz Equation in R³
- Efficient Halley-like Methods for the Inclusion of Multiple Zeros of Polynomials