应用数学和力学2011，Vol.32Issue(10)：1169-1181,13.DOI:10.3879/j.issn.1000-0887.2011.10.004
非线性对流-扩散方程的多区域拟谱方法
Multidomain Pseudospectral Methods for Nonlinear Convection-Diffusion Equations
摘要
Abstract
Multidomain pseudospectral approximations to nonlinear convection-diffusion equations were considered. The schemes were formulated in the Legendre-Galerkin method but the nonlinear term was collocated at the Legendre/Chebyshev-Gauss-Lobatto points inside each subinterval. Appropriate base functions were introduced so that the matrix of system was sparse and the method can be implemented efficiently and in parallel. The stability and the optimal rate of convergence of the methods were proved. Numerical results were given for both the single domain and the multidomain methods to make a comparison.关键词
多区域/Legendre/Chebyshev配置/对流-扩散方程Key words
multidomain/Legendre/Chebyshev collocation/convection-diffusion equation分类
数理科学引用本文复制引用
纪园园,吴华,马和平,郭本瑜..非线性对流-扩散方程的多区域拟谱方法[J].应用数学和力学,2011,32(10):1169-1181,13.基金项目
国家自然科学基金资助项目(60874039) （60874039）
上海市教委重点学科建设资助项目(J50101) （J50101）
