PROGRAMMING VARIATIONAL ITERATION METHOD VIA WOLFRAM-MATHEMATICA FOR SOLVING MULTI-ORDER DIFFERENTIAL EQUATIONS

Ghassan A. Al-Juaifri, Anas Al-Haboobi, Jaafar M. Al-Ghabban
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Abstract

In this study, we have studied the multi-order differential equations. The model we have followed agrees with initial value problem which, in its turn, has a group of linear ordinary differential equations. This paper’s aim is programming a Variational Iteration Method (VIM) using Wolfram’s Mathematica. Variational Iteration Method offers a study that introduce approximated solutions of the multi-order ordinary differential equations. Several examples of different order have been resolved. AMS Subject Classification: 12H20, 35A15, 34A30, 34A34
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用wolfram-mathematica编程变分迭代法求解多阶微分方程
在本研究中,我们研究了多阶微分方程。我们所采用的模型符合初值问题,而初值问题又有一组线性常微分方程。本文的目的是利用Wolfram的Mathematica软件对变分迭代法(VIM)进行编程。变分迭代法提供了一种引入多阶常微分方程近似解的方法。已经解决了几个不同顺序的例子。学科分类:12H20、35A15、34A30、34A34
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