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

Author:

Osman MawiaORCID,Gong Zengtai,Mustafa Altyeb Mohammed,Yang Hong

Abstract

AbstractIn 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference89 articles.

1. Adomian, G.: A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135, 501–544 (1988)

2. Ain, Q.T., He, J.H.: On two-scale dimension and its applications. Therm. Sci. 23(3), 1707–1712 (2019)

3. Akin, O., Khaniyev, T., Oruc, O., Torksen, I.B.: An algorithm for the solution of second order fuzzy initial value problems. Expert Syst. Appl. 40, 953–957 (2013)

4. Allahviranloo, T.: The Adomian decomposition method for fuzzy system of linear equations. Appl. Math. Comput. 163, 553–563 (2005)

5. Allahviranloo, T.: An analytic approximation to the solution of fuzzy heat equation by Adomian decomposition method. Int. J. Contemp. Math. Sci. 4(3), 105–114 (2009)

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