Solving fuzzy ( 1 + n ) $(1+ n)$ -dimensional Burgers’ equation

Abstract 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 ) $(1 + n)$ -dimension...

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Bibliographic Details
Main Authors: Mawia Osman, Zengtai Gong, Altyeb Mohammed Mustafa, Hong Yang
Format: Article
Language:English
Published: SpringerOpen 2021-04-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-021-03376-y
Description
Summary:Abstract 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 ) $(1 + n)$ -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 ) $(1 + n)$ -dimensional Burgers’ equation.
ISSN:1687-1847