Convergence Rate of Galerkin Method for a Certain Class of Nonlinear Operator-Differential Equations

被引：3

作者：

Vinogradova, Polina ^{[1
]}

机构：

[1] Far Eastern State Transport Univ, Dept Nat Sci, Serisheva, Russia

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2010年 / 31卷 / 03期

关键词：

Cauchy problem; Convergence; Galerkin method; Hilbert space; Nonstationary equation; Orthogonal projection;

D O I：

10.1080/01630561003757728

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study a Galerkin method for a nonstationary operator equation with a leading self-adjoint operator A(t) and a subordinate nonlinear operator F. The existence of the strong solutions of the Cauchy problem for differential and approximate equations are proved. New error estimates for the approximate solutions and their derivatives are obtained. The developed method is applied to an initial boundary value problem for a partial differential equation of parabolic type.

引用

页码：339 / 365

页数：27

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