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.
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页码：537 / 550
页数：14
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