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Quartic B-spline collocation method for fifth order boundary value problems

delete2011-07-08
delete21
PRE
AI
F
Feng-Gong Lang *
X
Xiaoping Xu
DOI:10.1007/s00607-011-0149-9delete
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Abstract

Abstract

En 中文
In this paper, we present a new quartic B-spline collocation method for linear and nonlinear fifth order boundary value problems. The method is fourth order convergent. It develops not only the quartic spline approximation solution but also the higher order approximation derivatives. Numerical examples are performed and comparisons with some other methods are also made. Numerical results show our method has higher accuracy and efficiency.
Keywords:
Quartic B-spline
Collocation method
Numerical solution
Fifth order boundary value problem

Journal

C
Computing
IF:
2.8
Papers:
2.3K
Citations:
3.5K

Organization

O
ocean university of china
Scholars:
3.1W
Papers: 2.0W
Citations: 21