Finite difference method for solving fourth-order obstacle problems

Eisa A. Al-SAID; Muhammad Aslam Noor; Dogan Kaya; Kamel Al-Khaled

doi:10.1080/00207160410001661654

Finite difference method for solving fourth-order obstacle problems

Eisa A. Al-SAID, Muhammad Aslam Noor^*, Dogan Kaya, Kamel Al-Khaled

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

21 Citations (Scopus)

Abstract

In this article, we introduce and develop a new finite difference method for solving a system of fourth-order boundary value problems associated with obstacle, unilateral and contact problems. The convergence analysis of the new method has been discussed and it was shown that the order is four and it gives approximations, which are better than those produced by other collocation, finite difference and spline methods. Numerical examples are presented to illustrate the applications of this method.

Original language	English
Pages (from-to)	741-748
Number of pages	8
Journal	International Journal of Computer Mathematics
Volume	81
Issue number	6
DOIs	https://doi.org/10.1080/00207160410001661654
Publication status	Published - Jun 2004
Externally published	Yes

Keywords

Convergence
Finite difference method
Obstacle problems
Variational inequalities

ASJC Scopus subject areas

Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

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10.1080/00207160410001661654

Cite this

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AU - Al-Khaled, Kamel

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AB - In this article, we introduce and develop a new finite difference method for solving a system of fourth-order boundary value problems associated with obstacle, unilateral and contact problems. The convergence analysis of the new method has been discussed and it was shown that the order is four and it gives approximations, which are better than those produced by other collocation, finite difference and spline methods. Numerical examples are presented to illustrate the applications of this method.

KW - Convergence

KW - Finite difference method

KW - Obstacle problems

KW - Variational inequalities

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Finite difference method for solving fourth-order obstacle problems

Abstract

Keywords

ASJC Scopus subject areas

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