The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators

作     者：Vedat Suat Erturk Zaid M.Odibat Shaher Momani 

作者机构：Department of MathematicsFaculty of Arts and SciencesOndokuz Mayis University55139SamsunTurkey Prince Abdullah Bin Ghazi Faculty of Science and ITAl-Balqa Applied UniversityAl-Salt 19117Jordan The University of JordanFaculty of ScienceDepartment of MathermaticsAmman 1194Jordan 

出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)

年 卷 期：2012年第4卷第4期

页      面：422-438页

核心收录：

学科分类：07[理学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 070101[理学-基础数学] 

主　　题：Non-linear oscillatory systems differential transform method numerical solution 

摘      要：In this paper,a reliable algorithm based on an adaptation of the standard differential transform method is presented,which is the multi-step differential transform method(MSDTM).The solutions of non-linear oscillators were obtained by *** comparisons between the MSDTM and the classical fourthorder Runge-Kutta method(RK4)reveal that the proposed technique is a promising tool to solve non-linear oscillators.