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

页码：15 / 25

页数：11

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