用积分变换和变分迭代相结合的方法求解Lane-Emden型微分方程

N. Zomot, O. Ababneh
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引用次数: 2

摘要

本文提出了一种可靠的结合改进的Sumudu变换和改进的变分迭代的方法来求解一类非线性Lane-Emden型微分方程。这些方程的结果是用可计算分量的收敛级数的形式得到的。非线性项可以用变分迭代法处理。该方法处理此类非线性微分方程简便、有效。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Solution of differential equations of Lane-Emden type by combining integral transform and variational iteration method
In this paper, we present a reliable combined the modified Sumudu transform and the new modified variational iteration method to solve some nonlinear differential equations of Lane-Emden type. The results of these equations have been find in terms of convergent series with computable components. The nonlinear terms can be handled by using the variational iteration method. This method is efficient and easy to handle such nonlinear differential equations.
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