Discrete-Time Orthogonal Spline Collocation Method for One-Dimensional Sine-Gordon Equation

Xiaoquan Ding, Qing-Jiang Meng and Li-Ping Yin

Discrete Dynamics in Nature and Society, 2015, vol. 2015, 1-8

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:206264

DOI: 10.1155/2015/206264

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