Asymptotic behaviour of the Galerkin and the finite element collocation methods for a parabolic equation

被引：12

作者：

Onah, SE ^{[1
]}

机构：

[1] Univ Agr, Dept Math, Makurdi, Benue State, Nigeria

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 127卷 / 2-3期

关键词：

spline functions; eigenvalues; spectral norms;

D O I：

10.1016/S0096-3003(00)00166-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The asymptotic convergence of the solution of a parabolic equation is proved. The proof is based on two methods namely, the Galerkin method expressed in terms of linear splines and the Finite Element Collocation method expressed by cubic spline basis functions. Both methods are considered in continuous time. The asymptotic rate of convergence for the two methods is found to be of order O(h(2)). (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：207 / 213

页数：7

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