Approximate solutions for the nonlinear third-order ordinary differential equations
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2017
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Abstract
A new perturbation method, multiple scales Lindstedt-Poincare (MSLP) is applied to jerk equations with cubic nonlinearities. Three different jerk equations are investigated. Approximate analytical solutions and periods are obtained using MSLP method. Both approximate analytical solutions and periods are contrasted with numerical and exact results. For the case of strong nonlinearities, obtained results are in good agreement with numerical and exact ones. © 2017 Walter de Gruyter GmbH, Berlin/Boston 2017.