Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 231, Issue 20, Pages 6953-6968Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2012.06.025
Keywords
Explicit group methods; Telegraph equations; Finite difference; Rotated grids; Unconditionally stable
Funding
- Fundamental Research Grant Scheme [203/PMATHS/6711188]
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In this paper, we present the development of new explicit group relaxation methods which solve the two dimensional second order hyperbolic telegraph equation subject to specific initial and Dirichlet boundary conditions. The explicit group methods use small fixed group formulations derived from a combination of the rotated five-point finite difference approximation together with the centered five-point centered difference approximation on different grid spacings. The resulting schemes involve three levels finite difference approximations with second order accuracies. Analyses are presented to confirm the unconditional stability of the difference schemes. Numerical experimentations are also conducted to compare the new methods with some existing schemes. (C) 2012 Elsevier Inc. All rights reserved.
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