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2014 (Vol. 7, Issue: 4)
Article Information:

Numerical Solution of Seventh Order Boundary Value Problems Using the Reproducing Kernel Space

Ghazala Akram and Hamood Ur Rehman
Corresponding Author:  Ghazala Akram 

Key words:  Gram-schmidt orthogonal process, reproducing kernel, seventh order Boundary Value Problem (BVP), , , ,
Vol. 7 , (4): 892-896
Submitted Accepted Published
April 23, 2013 May 31, 2013 January 27, 2014
Abstract:

The aim of study of this article is to determine the solution of seventh order boundary value problem. The behavior of the induction motor is simulated by fifth order differential equation model and induction machine with two rotor circuits is represented by the seventh order differential equations. In this study, a Reproducing Kernel Method (RKM) for a class of seventh-order nonlinear boundary value problems is investigated. The argument is based on the reproducing kernel space W82 [0, 1]. The proposed method gives better results when compared with the method available in literature (Siddiqi et al., 2012a). Two numerical examples are given to illustrate the implementation and efficiency of the method.
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  Cite this Reference:
Ghazala Akram and Hamood Ur Rehman, 2014. Numerical Solution of Seventh Order Boundary Value Problems Using the Reproducing Kernel Space.  Research Journal of Applied Sciences, Engineering and Technology, 7(4): 892-896.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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