节点文献
三阶非线性发展方程的线性化有理逼近方法(英文)
Linearized and rational approximation method for third-order nonlinear evolution equations
【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。
【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.
【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;
【Key words】 Linearized and Rational Approximation Method; Korteweg-de Vries equation; evolution equation; Differential Quadrature Method; Sinc function;
【Key words】 Linearized and Rational Approximation Method; Korteweg-de Vries equation; evolution equation; Differential Quadrature Method; Sinc function;
【基金】 国家自然科学基金(10171078)资助项目~~
- 【文献出处】 计算力学学报 ,Chinese Journal of Computational Mechanics , 编辑部邮箱 ,2006年01期
- 【分类号】O241.8
- 【被引频次】1
- 【下载频次】110