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High order compact Alternating Direction Implicit method for the generalized sine-Gordon equation

✍ Scribed by Mingrong Cui

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
788 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

High order compact Alternating Direction Implicit scheme is given for solving the generalized sine-Gordon equation in a two-dimensional rectangular domain. We apply the compact finite difference operators to obtain a fourth order discretization for the second order space derivatives, and we give a linearized three time level algorithm for solving the original nonlinear equation. Error estimate is given by the energy method. Numerical results are provided to verify the accuracy and efficiency of this algorithm.

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