直接定义逆映射（MDDiM）方法求基函数的一种新方法

IF 1 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Multiscale Modelling Pub Date : 2018-12-01 DOI:10.1142/S1756973718500087

Ophir Nave

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引用次数: 3

摘要

本文应用廖提出的直接定义逆映射方法（MDDiM）求解非线性微分方程组的半解析解。我们将这种新方法应用于单分散燃料喷雾模型的自燃。我们使用这种技术来寻找所考虑的算法中的基函数。我们的结果包括数值模拟和MDDiM导出的解析解之间的比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A New Method to Find the Base Functions for the Method of Directly Defining the Inverse Mapping (MDDiM)

In this paper, we apply a new algorithm called method of directly defining the inverse mapping (MDDiM) that was introduced by Liao for finding a semi-analytical solution to nonlinear system of differential equations. We apply this new method to the autoignition of a monodisperse fuel spray model. We use this technique for finding the base functions in the considered algorithm. Our results include a comparison between a numerical simulation and an analytical solutions derived from the MDDiM.

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来源期刊

Journal of Multiscale Modelling MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.70

自引率

0.00%

发文量