Enhanced Multistage Homotopy Perturbation Method: Approximate Solutions of Nonlinear Dynamic SystemsReportar como inadecuado




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Abstract and Applied Analysis - Volume 2014 2014, Article ID 486509, 12 pages -

Research ArticleCenter for Innovation in Design and Technology, Tecnológico de Monterrey, Campus Monterrey, E. Garza Sada 2501, 64849 Monterrey, NL, Mexico

Received 27 December 2013; Accepted 19 February 2014; Published 17 April 2014

Academic Editor: Abdon Atangana

Copyright © 2014 Daniel Olvera and Alex Elías-Zúñiga. 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

We introduce a new approach called the enhanced multistage homotopy perturbation method EMHPM that is based on the homotopy perturbation method HPM and the usage of time subintervals to find the approximate solution of differential equations with strong nonlinearities. We also study the convergence of our proposed EMHPM approach based on the value of the control parameter h by following the homotopy analysis method HAM. At the end of the paper, we compare the derived EMHPM approximate solutions of some nonlinear physical systems with their corresponding numerical integration solutions obtained by using the classical fourth order Runge-Kutta method via the amplitude-time response curves.





Autor: Daniel Olvera and Alex Elías-Zúñiga

Fuente: https://www.hindawi.com/



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