On the Application of Sumudu Transform Series Decomposition Method and Oscillation Equations
On the Application of Sumudu Transform Series Decomposition Method and Oscillation Equations
复制标题
论Sumudu变换级数分解法和振荡方程的应用
DOI：
10.9734/arjom/2017/31350
复制
发表时间：
2017
期刊：
影响因子：
--
通讯作者：
J. Owolabi
中科院分区：
文献类型：
--
作者：
E. I. Akinola;J. Oladejo;F. Akinpelu;J. Owolabi
本文将一种新的方法--Sumudu变换级数分解方法（STSDM）应用于三种不同的振动问题模型（货车der Pol、Duffing和非线性振动方程）。该方法结合了Sumudu变换、级数展开法和Adomian多项式。采用Sumudu变换避免了某些困难函数的积分或微分方程降阶为微分方程组的繁琐，采用级数展开法提高解的收敛速度，采用Adomian多项式分解微分方程的非线性项。对所考虑的所有问题的计算结果表明，新方法是非常有效、准确和可靠的。
In this paper, a new method called Sumudu Transform Series Decomposition Method (STSDM) is applied to three different models of Oscillatory problems (Van der Pol, Duffing and Nonlinear Oscillatory equations). The method was developed by Combining the Sumudu Transform, Series Expansion Schemes and Adomian Polynomials. The Sumudu Transform was used to avoi d integration of some difficult functions or rigour of reducing order of differential equat ions to system of differential equations, the Series Expansion was employed to increase the rate of co nvergence of the solution while Adomian Polynomials were used to decompose the nonlinear terms o f the differential equations. The results obtained in all the problems considered showed that the new m ethod was very effective, accurate and reliable.