Exponential spline approach for the solution of fourth order obstacle boundary value problems

An exponential quintic spline technique at mid knots is developed for approximating the solution of system of fourth order boundary value problems associated with obstacle, unilateral and contact problems. The present technique gives a class of methods of order two, four and six. Two numerical examp...

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Bibliographic Details
Published in:Filomat 2012-12, Vol.26 (5), p.993-1004
Main Authors: Khana, Arshad, Bisht, Shilpi
Format: Article
Language:English
Subjects:
Boundary value problems
Mathematical functions
Penalty function
Spline functions
Variational inequalities
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Summary:An exponential quintic spline technique at mid knots is developed for approximating the solution of system of fourth order boundary value problems associated with obstacle, unilateral and contact problems. The present technique gives a class of methods of order two, four and six. Two numerical examples are considered for the numerical illustration of the proposed method. It is shown that the method developed in this paper is more efficient than the other finite difference, collocation and spline methods.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1205993K