Volume 17, Issue 2, August 2015, Pages 423–429
ADEWOYE R. ADEBISI1
1 MATHEMATICS/STATISTICS DEPARTMENT, RUFUS GIWA POLYTECHNIC, OWO, Nigeria
Original language: English
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this paper, an efficient numerical algorithm to find exact solutions for the system of linear equations based on homotopy perturbation method (HPM) is presented. A reliable modification is proposed, and the modified method is employed to solve the system of linear equations generated from some models of electrical networks; the results are compared with those obtained by the conventional methods of solving the system of linear equations. Two examples are given to illustrate the ability and reliability of the improved homotopy perturbation method. The results reveal that the improved method is very simple and effective.
Author Keywords: Electrical Networks, Homotopy Perturbation Method.
ADEWOYE R. ADEBISI1
1 MATHEMATICS/STATISTICS DEPARTMENT, RUFUS GIWA POLYTECHNIC, OWO, Nigeria
Original language: English
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper, an efficient numerical algorithm to find exact solutions for the system of linear equations based on homotopy perturbation method (HPM) is presented. A reliable modification is proposed, and the modified method is employed to solve the system of linear equations generated from some models of electrical networks; the results are compared with those obtained by the conventional methods of solving the system of linear equations. Two examples are given to illustrate the ability and reliability of the improved homotopy perturbation method. The results reveal that the improved method is very simple and effective.
Author Keywords: Electrical Networks, Homotopy Perturbation Method.
How to Cite this Article
ADEWOYE R. ADEBISI, “SOLVING MODELS OF ELECTRICAL NETWORKS BY AN IMPROVED HOMOTOPY PERTURBATION METHOD,” International Journal of Innovation and Scientific Research, vol. 17, no. 2, pp. 423–429, August 2015.