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Math. Comput. Appl. 2015, 20(2), 137-150; doi:10.3390/mca20010150

Solution of Quadratic Nonlinear Problems with Multiple Scales Lindstedt-Poincare Method

Applied Mathematics and Computation Center, Celal Bayar University, Muradiye, 45140 Manisa, Turkey
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Published: 1 August 2015
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Abstract

A recently developed perturbation algorithm namely the multiple scales Lindstedt-Poincare method (MSLP) is employed to solve the mathematical models. Three different models with quadratic nonlinearities are considered. Approximate solutions are obtained with classical multiple scales method (MS) and the MSLP method and they are compared with the numerical solutions. It is shown that MSLP solutions are better than the MS solutions for the strongly nonlinear case of the considered models.
Keywords: perturbation methods; numerical solutions; systems with quadratic nonlinearities perturbation methods; numerical solutions; systems with quadratic nonlinearities
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. (CC BY 4.0).

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MDPI and ACS Style

Pakdemirli, M.; Sarı, G. Solution of Quadratic Nonlinear Problems with Multiple Scales Lindstedt-Poincare Method. Math. Comput. Appl. 2015, 20, 137-150.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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