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Article

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

by
Mehmet Pakdemirli
* and
Gözde Sarı
*
Applied Mathematics and Computation Center, Celal Bayar University, Muradiye, 45140 Manisa, Turkey
*
Authors to whom correspondence should be addressed.
Math. Comput. Appl. 2015, 20(2), 137-150; https://doi.org/10.3390/mca20010150
Published: 1 August 2015
Versions Notes

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

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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. https://doi.org/10.3390/mca20010150

AMA Style

Pakdemirli M, Sarı G. Solution of Quadratic Nonlinear Problems with Multiple Scales Lindstedt-Poincare Method. Mathematical and Computational Applications. 2015; 20(2):137-150. https://doi.org/10.3390/mca20010150

Chicago/Turabian Style

Pakdemirli, Mehmet, and Gözde Sarı. 2015. "Solution of Quadratic Nonlinear Problems with Multiple Scales Lindstedt-Poincare Method" Mathematical and Computational Applications 20, no. 2: 137-150. https://doi.org/10.3390/mca20010150

APA Style

Pakdemirli, M., & Sarı, G. (2015). Solution of Quadratic Nonlinear Problems with Multiple Scales Lindstedt-Poincare Method. Mathematical and Computational Applications, 20(2), 137-150. https://doi.org/10.3390/mca20010150

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