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

Mathematical and Computational Applications

Pakdemirli, Mehmet¹ 

关键词: perturbation methods;    numerical solutions;    systems with quadratic nonlinearities;   

DOI  :  10.3390/mca20010150

学科分类：计算数学

来源: mdpi

【 摘 要 】

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 solutionsareobtainedwithclassicalmultiplescalesmethod(MS)andtheMSLP 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.

【 授权许可】

CC BY