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Abstract
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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
Submitted: April 23, 2013
Accepted: May 31, 2013
Published: January 27, 2014 |
Abstract:
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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.
Key words: Gram-schmidt orthogonal process, reproducing kernel, seventh order Boundary Value Problem (BVP), , , ,
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Cite this Reference:
Ghazala Akram and Hamood Ur Rehman, . Numerical Solution of Seventh Order Boundary Value Problems Using the Reproducing Kernel Space. Research Journal of Applied Sciences, Engineering and Technology, (4): 892-896.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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