Open Access
Translator Disclaimer
2014 Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations
Zhi Mao, Aiguo Xiao, Zuguo Yu, Long Shi
J. Appl. Math. 2014: 1-11 (2014). DOI: 10.1155/2014/536030

Abstract

We propose an efficient numerical method for a class of fractional diffusion-wave equations with the Caputo fractional derivative of order α. This approach is based on the finite difference in time and the global sinc collocation in space. By utilizing the collocation technique and some properties of the sinc functions, the problem is reduced to the solution of a system of linear algebraic equations at each time step. Stability and convergence of the proposed method are rigorously analyzed. The numerical solution is of 3-α order accuracy in time and exponential rate of convergence in space. Numerical experiments demonstrate the validity of the obtained method and support the obtained theoretical results.

Citation

Download Citation

Zhi Mao. Aiguo Xiao. Zuguo Yu. Long Shi. "Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations." J. Appl. Math. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/536030

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131676
MathSciNet: MR3230575
Digital Object Identifier: 10.1155/2014/536030

Rights: Copyright © 2014 Hindawi

JOURNAL ARTICLE
11 PAGES


SHARE
Vol.2014 • 2014
Back to Top