Quartic spline method for solving fourth order obstacle boundary value problems

In this paper, we use uniform quartic polynomial splines to develop a new method, which is used for computing approximations to the solution and its first, second as well as third derivatives for a system of fourth order boundary value problems associated with obstacle, unilateral and contact proble...

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Published in:Journal of computational and applied mathematics 2002-06, Vol.143 (1), p.107-116
Main Authors: Al-Said, Eisa A., Noor, Muhammad Aslam
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Convergence
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Quartic splines
Sciences and techniques of general use
System of differential equations
Variational inequalities
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container_title Journal of computational and applied mathematics
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creator Al-Said, Eisa A.
Noor, Muhammad Aslam
description In this paper, we use uniform quartic polynomial splines to develop a new method, which is used for computing approximations to the solution and its first, second as well as third derivatives for a system of fourth order boundary value problems associated with obstacle, unilateral and contact problems. It is shown that the present method is of order two and gives approximations which are better than those produced by other collocation and finite difference methods. Numerical examples are presented to illustrate the applicability of the new method.
doi_str_mv 10.1016/S0377-0427(01)00497-6
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subjects Calculus of variations and optimal control
Convergence
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Quartic splines
Sciences and techniques of general use
System of differential equations
Variational inequalities
title Quartic spline method for solving fourth order obstacle boundary value problems
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