Collocation finite element and spectral methods for one dimensional biharmonic equations

被引：1

作者：

Khalifa, AK ^{[1
]}

Aziz, MA ^{[1
]}

机构：

[1] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2000年 / 74卷 / 04期

关键词：

collocation method; biharmonic equation; orthogonal polynomials B-splines; Chebyshev; Legendre; ultraspherical;

D O I：

10.1080/00207169508804960

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with collocation-finite element and collocation-spectral methods with piecewise and orthogonal polynomials to numerically solve one dimensional biharmonic equations. We considered a general formula for the B-splines of kth degree, error analysis is also given. Variational inequality approach is used to prove the existence and uniqueness of the solution. Comparison is made between different methods.

引用

页码：537 / 550

页数：14

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