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http://dx.doi.org/10.14317/jami.2013.055

SOLUTION OF THE SYSTEM OF FOURTH ORDER BOUNDARY VALUE PROBLEM USING REPRODUCING KERNEL SPACE  

Akram, Ghazala (Department of Mathematics, University of the Punjab)
Ur Rehman, Hamood (Department of Mathematics, University of the Punjab)
Publication Information
Journal of applied mathematics & informatics / v.31, no.1_2, 2013 , pp. 55-63 More about this Journal
Abstract
In this paper, a general technique is proposed for solving a system of fourth-order boundary value problems. The solution is given in the form of series and its approximate solution is obtained by truncating the series. Advantages of the method are that the representation of exact solution is obtained in a new reproducing kernel Hilbert space and accuracy of numerical computation is higher. Numerical results show that the method employed in the paper is valid. Numerical evidence is presented to show the applicability and superiority of the new method.
Keywords
Exact solution; Obstacle problems; Approximate solution; Reproducing kernel;
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