On the convergence of Homotopy perturbation method
Ayati, Z., Biazar, J. (2015). On the convergence of Homotopy perturbation method. EKB Journal Management System, 23(2), 424-428. doi: 10.21608/joems.2015.382562
Zainab Ayati; Jafar Biazar. "On the convergence of Homotopy perturbation method". EKB Journal Management System, 23, 2, 2015, 424-428. doi: 10.21608/joems.2015.382562
Ayati, Z., Biazar, J. (2015). 'On the convergence of Homotopy perturbation method', EKB Journal Management System, 23(2), pp. 424-428. doi: 10.21608/joems.2015.382562
Ayati, Z., Biazar, J. On the convergence of Homotopy perturbation method. EKB Journal Management System, 2015; 23(2): 424-428. doi: 10.21608/joems.2015.382562

On the convergence of Homotopy perturbation method

Journal of the Egyptian Mathematical Society
Volume 23, Issue 2, 2015, Pages 424-428    PDF (483.07 K)
Document Type: Original Article
DOI: 10.21608/joems.2015.382562
Authors
Zainab Ayati* 1; Jafar Biazar2
1Department of Engineering Sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, PC 44891-63157 Rudsar-Vajargah, Iran
2Faculty of Mathematical Science, University of Guilan, Department of Applied Mathematics, P.O. Box 41635-19141, PC 4193-833697 Rasht, Iran
Abstract
In many papers, Homotopy perturbation method has been presented as a method for
solving non-linear equations of various kinds. Using Homotopy perturbation method, it is possible
to find the exact solution or a closed approximate to the solution of the problem. But, only a few
works have been considered the problem of convergence of the method. In this paper, convergence
of Homotopy perturbation method has been elaborated briefly.
Keywords
Homotopy perturbation method; Functional equation; Convergence
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