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An analytical treatment to fractional gas dynamics equation

机译:分数气体动力学方程的解析处理

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摘要

In this paper, the new iterative method (NIM) is applied to solve nonlinear fractional gas dynamics equation. Further, a coupling of the Sumudu transform and Adomian decomposion (STADM) is used to get an approximate solution of the same problem. The results obtained by the two methods are found to be in agreement. Therefore, the NIM may be considered efficient method for finding approximate solutions of both linear and nonlinear fractional differential equations.
机译:本文采用新的迭代法(NIM)求解非线性分数阶气体动力学方程。此外,使用Sumudu变换和Adomian分解(STADM)的耦合来获得相同问题的近似解。发现通过两种方法获得的结果是一致的。因此,可以将NIM视为找到线性和非线性分数阶微分方程的近似解的有效方法。

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