Solution of a quadratic nonlinear problem with multiple scales Lindstedt-Poincare method

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Date

2015

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Publisher

American Institute of Physics Inc.

Abstract

A recently developed perturbation algorithm namely the Multiple Scales Lindstedt-Poincare method (MSLP) is employed to solve an equation with quadratic nonlinearity. Approximate solutions are obtained with classical multiple scales Method (MS) and the MSLP method and they are compared with numerical solutions. It is shown that MSLP solutions are better than the MS solutions for the strongly nonlinear case. © 2015 AIP Publishing LLC.

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Keywords

Numerical analysis , Perturbation techniques , Approximate solution , Lindstedt-Poincare method , Multiple scales methods , Nonlinear problems , Numerical solution , Perturbation method , Quadratic nonlinearities , Strongly nonlinear , Numerical methods

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http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16409

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