| 广义K.d.V.方程的数值方法 |
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| 引用本文： | 贺国强.广义K.d.V.方程的数值方法[J].计算数学,1985,7(4):338-348. |
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| 作者姓名： | 贺国强 |
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| 作者单位： | 上海科技大学 |
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| 摘 要： | 本文研究一般的广义K.d.V.方程的数值方法,给出了广义K.d.V.方程的一类半离散差分格式,证明了它们的守恒性。作者还严格证明了这类格式的广义稳定性,并由此推出收敛性。文章的最后考虑了全离散情形和两步格式。
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NUMERICAL METHODS FOR THE G. K. d. V. EQUATION |
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| Institution: | He Guo-qiang Shanghai University of Science and Technology |
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| Abstract: | The numerical methods for solving the Generalized Korteweg-de Vries (G. K. d.V.) equation are considered. A class of semidiscrete difference schemes which satisfy theconservative law is proposed. The generalized stability of the schemes and the conver-gence of the methods are proved. Finally, fuly diserete difference schemes are con-sidered. |
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