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Journal of Applied Mathematics
Volume 2014, Article ID 536030, 11 pages
Research Article

Finite Difference and Sinc-Collocation Approximations to a Class of Fractional Diffusion-Wave Equations

1Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, China
2Mathematics and Information Engineering Department, Tongren University, Tongren, Guizhou 554300, China

Received 10 February 2014; Revised 30 May 2014; Accepted 9 June 2014; Published 2 July 2014

Academic Editor: Nazim I. Mahmudov

Copyright © 2014 Zhi Mao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We propose an efficient numerical method for a class of fractional diffusion-wave equations with the Caputo fractional derivative of order . 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 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.