Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 274, Issue -, Pages 268-282Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2014.06.022
Keywords
Two dimensional fractional Klein-Gordon equation; Compact difference scheme; Stability; Convergence
Funding
- Macao Science and Technology Development Fund [FDCT/001/2013/A]
- University of Macau [MYRG086(Y2-L2)-FST12-VSW]
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In this paper, a high order finite difference scheme for a two dimensional fractional Klein-Gordon equation subject to Neumann boundary conditions is proposed. The difficulty induced by the nonlinear term and the Neumann conditions is carefully handled in the proposed scheme. The stability and convergence of the finite difference scheme are analyzed using the matrix form of the scheme. Numerical examples are provided to demonstrate the theoretical results. (C) 2014 Elsevier Inc. All rights reserved.
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