文章基本信息

标题：Numerical solution of nonlinear sine–Gordon equation by using the modified cubic B-spline differential quadrature method
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作者：H.S. Shukla ; Mohammad Tamsir
期刊名称：Beni-Suef University Journal of Basic and Applied Sciences
印刷版ISSN：2314-8535
电子版ISSN：2314-8543
出版年度：2018
卷号：7
期号：4
页码：359-366
DOI：10.1016/j.bjbas.2016.12.001
语种：English
出版社：Elsevier
摘要：AbstractThis paper deals with numerical solution of one dimensional nonlinear sine–Gordon. “Modified cubic B-spline differential quadrature method” is used to solve one dimensional nonlinear sine–Gordon. The method reduces the problem to a system of first order ordinary differential equations (ODEs). The resulting system of ODEs is solved by “an optimal five stage and fourth-order strong stability preserving Runge–Kutta (SSP-RK54) method”. Finally, the method is illustrated and compared with existing methods via numerical examples. It is found that the method not only is quite easy to implement, but also gives better results than the ones already existing in the literature.
关键词：Sine–Gordon equation;MCB-DQM;SSP-RK54;Thomas algorithm