| 三阶非线性发展方程的线性化有理逼近方法 |
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| 引用本文： | 沈烨,吴雄华.三阶非线性发展方程的线性化有理逼近方法[J].计算力学学报,2006,23(1):34-39. |
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| 作者姓名： | 沈烨 吴雄华 |
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| 作者单位： | 同济大学,应用数学系,上海,200092 |
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| 摘 要： | 研究了三阶非线性发展方程的初边值问题的解。采用基于Sinc函数的微分求积法发展了线性化有理逼近方法。通常的配点法不适用于上述三阶问题的求解。本文把提出的方法用于求解KdV方程,取得了良好的效果。
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| 关 键 词： | 线性化有理逼近方法 Sinc函数的微分求积法 KdV(Korteweg-deVries)方程 |
| 文章编号： | 1007-4708(2006)01-0034-06 |
| 修稿时间： | 2003年12月15 |
Linearized and rational approximation method for third-order nonlinear evolution equations |
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| SHEN Ye,WU Xiong-hua.Linearized and rational approximation method for third-order nonlinear evolution equations[J].Chinese Journal of Computational Mechanics,2006,23(1):34-39. |
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| Authors: | SHEN Ye WU Xiong-hua |
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| Abstract: | This paper deals with the solution of initial-boundary value problems of third-order nonlinear evolution equations.A Linearized and Rational Approximation Method was developed,based on differential quadrature method with Sinc-functions.The Korteweg-de Vries equation well exemplified the application of this method.It proves that this method is of high efficiency and accuracy. |
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| Keywords: | Linearized and Rational Approximation Method Korteweg-de Vries equation evolution equation Differential Quadrature Method Sinc function |
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