Analytical Solutions to Investigate Fractional Newell-Whitehead Nonlinear Equation Using Sumudu Transform Decomposition Method

Authors

Huda Omran Altaie University of Baghdad/ Department of Mathematics, College of Education For Pure Sciences/Ibn Al-Haitham, Baghdad,Iraq
Qays Jasem Hussein Department of Mathematics, College of Education For Pure Sciences / Ibn Al-Haitham, University of Baghdad, Iraq

DOI:

https://doi.org/10.30526/36.3.3241

Keywords:

Sumudu Transformation, Caputo derivative, Fractional Calculus, Approximate solutions, Decomposition method.

Abstract

Some nonlinear differential equations with fractional order are evaluated using a novel approach, the Sumudu and Adomian Decomposition Technique (STADM). To get the results of the given model, the Sumudu transformation and iterative technique are employed. The suggested method has an advantage over alternative strategies in that it does not require additional resources or calculations. This approach works well, is easy to use, and yields good results. Besides, the solution graphs are plotted using MATLAB software. Also, the true solution of the fractional Newell-Whitehead equation is shown together with the approximate solutions of STADM. The results showed our approach is a great, reliable, and easy method to deal with specific problems in a variety of applied sciences and engineering fields

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