Analytical Solutions to Investigate Fractional Newell-Whitehead Nonlinear Equation Using Sumudu Transform Decomposition Method-Reference-Cited by-同舟云学术

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

Published:2023-07-20 Issue:3 Volume:36 Page:316-322
ISSN:2521-3407
Container-title:Ibn AL-Haitham Journal For Pure and Applied Sciences
language:
Short-container-title:IHJPAS

Author:

Altaie Huda Omran,Hussein Qays Jasem

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

Publisher

College of Education for Pure Science (Ibn Al-Haitham)

Subject

Microbiology

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