Title of article :
SOLUTION OF QUADRATIC NONLINEAR PROBLEMS WITH MULTIPLE SCALES LINDSTEDT-POINCARE METHOD
Author/Authors :
Pakdemirli, Mehmet Celal Bayar University - Applied Mathematics and Computation Center, Turkey , Sarı, Gözde Celal Bayar University - Applied Mathematics and Computation Center, Turkey
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
Journal title :
mathematical and computational applications
Journal title :
mathematical and computational applications
