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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Implementation of Shehu Adomian Decomposition Method upon Fisher's Equation for Analytical Solution

Discontinuity, Nonlinearity, and Complexity 14(2) (2025) 337--355 | DOI:10.5890/DNC.2025.06.008

Mamta Kapoor

Marwadi University Research Center, Department of Mathematics, Faculty of Engineering & Technology, Marwadi University, Rajkot, 360003, Gujarat, India

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Abstract

In present research work, an iterative Shehu Adomian Decomposition Method is implemented to tackle the approximated and exact outcomes of the Fisher's Reaction-Diffusion equation. In present work, the Adomian polynomials are employed to fetch required terms in the process. The robustness and efficiency of the proposed technique are validated using the graphical matching of the outcomes. It can be assured that iterative Shehu ADM is one of the easy-to-implement techniques to tackle complex-natured PDEs. With the aid of the iterative Shehu ADM, a vast range of fractional PDEs can be solved as future research work.

Acknowledgments

\bibitem{adomian1988review} Adomian, G. (1988), A review of the decomposition method in applied mathematics, \textit{Journal of Mathematical Analysis and Applications}, \textbf{135}, 501-544.

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