Solving fuzzy Burgers equation by variational iteration method

Volume 21, Issue 2, pp 136--149 http://dx.doi.org/10.22436/jmcs.021.02.05

Publication Date: April 07, 2020 Submission Date: May 16, 2019 Revision Date: September 07, 2019 Accteptance Date: September 16, 2019

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Authors

Atimad Harir - Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P. O. Box 523, Beni Mellal, 23000, Morocco. Said Melliani - Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P. O. Box 523, Beni Mellal, 23000, Morocco. L. Saadia Chadli - Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, P. O. Box 523, Beni Mellal, 23000, Morocco.

Abstract

In this paper, the variational iteration method (VIM) has been applied to find the fuzzy solutions of the fuzzy Burgers equations with variable coefficients and fuzzy parameters. We follow the same strategy as in Buckley and Feuring which is: (1) first check to see if the Buckly-Feuring method produces a solution, and (2) if the Buckly-Feuring method does not give a solution, then see if the Seikkala procedure generates a solution. Several examples are given to show the new theorem of the Buckley-Feuring solution and the Seikkala solution.

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Keywords

• Fuzzy Burgers equations
• variational iteration method
• fuzzy number

MSC

•  35R13
•  46S40
•  03E72

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