Analytical Solutions to Investigate Fractional Newell-Whitehead Nonlinear Equation Using Sumudu Transform Decomposition Method
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...
Saved in:
Published in | Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 36; no. 3; pp. 316 - 322 |
---|---|
Main Authors | , |
Format | Journal Article |
Language | English |
Published |
University of Baghdad
20.07.2023
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | 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 |
---|---|
ISSN: | 1609-4042 2521-3407 |
DOI: | 10.30526/36.3.3241 |