摘要
基于多尺度分析和Galerkin方法,提出了一类改进非线性偏微分方程的已知逼近解精度的线性化修正方法.通过误差分析和数值例子说明了方法的有效性.
A linearized modifying algorithm based on multi-resolution analysis and wavelet- Galerkin method is proposed, which can be used to improve the precision of the approximate solution of nonlinear partial differential equations. Error estimates and the numerical examples indicate the effectiveness of the proposed algorithm.
出处
《数值计算与计算机应用》
CSCD
2006年第4期249-259,共11页
Journal on Numerical Methods and Computer Applications
基金
广东省自然科学基金资助(04009794).