计算机工程与应用2011，Vol.47Issue(20)：38-40,84,4.DOI:10.3778/j.issn.1002-8331.2011.20.011
非线性偏微分方程数值求解的自适应方法研究
Research of adaptive algorithm for numerical calculation of nonlinear partial differential equations
摘要
Abstract
In the foundation of thorough studies on wavelet theory and its applications in numerical solution of partial differential equation, a adaptive wavelet algorithm for numerical solution of partial differential equation-wavelet optimized finite difference method is advanced.The nonlinear Burgers equation is taken as an example, WOFD and method of lines are used to solve it,it turns out that the WOFD has adaptability,high efficiency and feasibility.关键词
偏微分方程/自适应/小波/有限差分法/直线法Key words
partial differential equations/ adaptability/ wavelet/ finite difference method/ method of lines分类
数理科学引用本文复制引用
周宏宇,王爱民..非线性偏微分方程数值求解的自适应方法研究[J].计算机工程与应用,2011,47(20):38-40,84,4.基金项目
国家自然科学基金(the National Natural Science Foundation of China under Grant No.60973051) （the National Natural Science Foundation of China under Grant No.60973051）
河南省重点科技攻关计划项目(No.092102210112). （No.092102210112）
