q-Modified Differential Transform Method

Pub Date : 2024-07-18 DOI:10.1134/s0965542524700428

F. Hıra

引用次数: 0

Abstract

The modified or hybrid method is created by combining the differential transform method (DTM), Padé approximant, and Laplace transform. This method has been used frequently in many fields, especially in solving problems created by nonlinear equations. In this study, we examined the \(q\)-analog of this method. We define the method as the \(q\)-modified differential transformation method (\(q\)-MDTM). By creating \(q\)-analogs of some problems solved by Laplace transform and DTM in the literature, we are solving them with \(q\)-MDTM. In this sense, the study is an example of creating nonlinear \(q\)-differential equations and solving them by applying the \(q\)-modified method.

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q 修正微分变换法

摘要修正法或混合法是将微分变换法 (DTM)、帕代近似法和拉普拉斯变换法相结合而产生的。这种方法在很多领域都得到了广泛应用，尤其是在解决非线性方程问题时。在这项研究中，我们研究了这种方法的 \(q\)-analog 。我们把这种方法定义为修正微分变换法（\(q\)-MDTM）。通过创建文献中用拉普拉斯变换和 DTM 解决的一些问题的 \(q\)-analogs ，我们用 \(q\)-MDTM 来解决它们。从这个意义上说，这项研究是创建非线性（q）-微分方程并应用（q）-修正法求解的一个例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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