文章基本信息

标题：Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation
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作者：Xiaoquan Ding ; Qing-Jiang Meng ; Li-Ping Yin 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2015
卷号：2015
DOI：10.1155/2015/206264
出版社：Hindawi Publishing Corporation
摘要：We present a discrete-time orthogonal spline collocation scheme for the one-dimensional sine-Gordon equation. This scheme uses Hermite basis functions to approximate the solution throughout the spatial domain on each time level. The convergence rate with order in norm and stability of the scheme are proved. Numerical results are presented and compared with analytical solutions to confirm the accuracy of the presented scheme.