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Solving fuzzy ( 1 + n ) $(1+ n)$ -dimensional Burgers’ equation
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2021-04-26 , DOI: 10.1186/s13662-021-03376-y
Mawia Osman , Zengtai Gong , Altyeb Mohammed Mustafa , Hong Yang

In this paper, we study the comparison of fuzzy differential transform method (FDTM), fuzzy Adomian decomposition method (FADM), fuzzy homotopy perturbation method (FHPM), and fuzzy reduced differential transform method (FRDTM) to obtain the solutions of fuzzy \((1 + n)\)-dimensional Burgers’ equation under gH-differentiability. We have investigated many new results to solve the above problem, and the methods have been implemented. The four illustrative numerical examples are presented to demonstrate the effectiveness of the proposed methods and also to demonstrate the efficiency and simplicity of the ways they were developed and derived. The results also show that the methods are powerful mathematical tools for solving fuzzy \((1 + n)\)-dimensional Burgers’ equation.



中文翻译:

求解模糊(1 + n)$(1+ n)$-维Burgers方程

在本文中,我们研究了模糊微分变换方法(FDTM),模糊Adomian分解方法(FADM),模糊同伦扰动方法(FHPM)和模糊归约差分变换方法(FRDTM)的比较,以获得模糊\( (1 + n)\)-在gH-可微性下的尺寸Burgers方程。我们已经研究了许多新的结果来解决上述问题,并且已经实现了这些方法。给出了四个说明性的数值示例,以证明所提出方法的有效性,并证明它们的开发和导出方法的效率和简便性。结果还表明,该方法是求解模糊\((1 + n)\)维Burgers方程的强大数学工具。

更新日期:2021-04-26
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