Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 235, Issue 8, Pages 2832-2841Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2010.12.002
Keywords
Finite difference method; Two-sided space-fractional wave equation; Stability condition; Stability matrix analysis; Gerschgorin theorem
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In this paper, a class of finite difference method for solving two-sided space-fractional wave equation is considered. The stability and consistency of the method are discussed by means of Gerschgorin theorem and using the stability matrix analysis. Numerical solutions of some wave fractional partial differential equation models are presented. The results obtained are compared to exact solutions. (C) 2010 Elsevier B.V. All rights reserved.
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