科研之友
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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 O(h(4) + tau(2)) in L-2 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.
- 出版日期2015
- 单位河南大学; 国家海洋局第一海洋研究所
