Research Article | OPEN ACCESS
Solution of the System of Fifth Order Boundary Value Problem using Quartic Spline
Ghazala Akram and Shahid S. Siddiqi
Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan
Research Journal of Applied Sciences, Engineering and Technology 2014 22:4696-4701
Received: October 25, 2013 | Accepted: January 24, 2014 | Published: June 10, 2014
Abstract
The aim of the study is the solution of the system of fifth order boundary value problems associated with obstacle, unilateral and contact problems using quartic spline. These problems arise in several branches of pure and applied sciences and in engineering including transportation, equilibrium, optimization, mechanics, structural analysis, fluid flow through porous media and image processing in the medical sciences. The results are compared with the exact solution. Two examples are considered for the numerical illustration of the method developed and the results are encouraging.
Keywords:
Contact problems, obstacle problems, quartic spline, system of boundary value problems, variational inequalities,
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Siddiqi, S.S. and G. Akram, 2007a. Numerical solution of a system of fourth order boundary value problems using cubic non-polynomial spline method. Appl. Math. Comput., 190: 652-661.
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Siddiqi, S.S. and G. Akram, 2007b. Solution of the system of fourth-order boundary value problems using cubic spline. Appl. Math. Comput., 187: 1219-1227.
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Siddiqi, S.S. and G. Akram, 2007c. Solution of the system of fourth-order boundary value problems using nonpolynomial spline technique. Appl. Math. Comput., 185: 128-135.
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Competing interests
The authors have no competing interests.
Open Access Policy
This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Copyright
The authors have no competing interests.
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