MATHEMATICAL MODELING OF QUINTIC DUFFING EQUATION AND NUMERICAL SIMULATION USING MULTIPLE SCALES MODIFIED LINDSTEDT–POINCARE METHOD

作     者：MANOJ KUMAR PARUL 

作者机构：Department of Mathematics Motilal Nehru National Institute of Technology Allahabad-211004U.P.India 

出 版 物：《International Journal of Modeling, Simulation, and Scientific Computing》 (建模、仿真和科学计算国际期刊（英文）)

年 卷 期：2012年第3卷第3期

页      面：21-37页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：support provided by the University Grant Commission New Delhi Government of India under research grant no.37-515/2009(SR) 

主　　题：Perturbation methods multiple scales method modified Lindstedt-Poincare method perturbation problems. 

摘      要：A perturbation algorithm Multiple Scales Modified Lindstedt–Poincare(MSMLP),combination of method of Multiple Scales and modified Lindstedt–Poincare is proposed for the solution of Quintic Duffing equation which combines the advantages of both the *** obtained by the MSMLP method is compared with the Multiple Scales method and accurate closed form approximate solution of the Quintic Duffing *** proposed method produces better results for a wide range of amplitude values of oscillations and strong *** simulation has been performed in MATHEMATICA 7.0.