The rate of convergence for the decomposition method

被引：2
|
作者：
Boumenir, A [1 ]
Gordon, M [1 ]
机构：
[1] State Univ W Georgia, Dept Math, Carrollton, GA 30118 USA
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2004年 / 25卷 / 1-2期
关键词：
decomposition method; reaction diffusion equation;
D O I：
10.1081/NFA-120034114
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the convergence of approximations by the decomposition method for semi-linear evolution equations with a quadratic nonlinearity. We also obtain the rate of convergence and a computable error bound for the approximation in the case one of the eigenvalues is a negative integer. The method can easily be generalized for quadratic nonlinearities appearing in the well-known K.P.P and K.dV equations.
引用
收藏
页码：15 / 25
页数：11
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