Analyzing Similarity Solution of Modified Fisher Equation

Esen Hanaç Duruk, Mehmet Emir Koksal, Ram Jiwari and Tareq Al-shami

Journal of Mathematics, 2022, vol. 2022, 1-9

Abstract: In this paper, we first examine the type of structure of the solutions to the modified form of a nonlinear Fisher’s reaction-diffusion equation. The existence of the traveling wave solution to the equation in the long term is observed by using dynamical system theory and exhibiting a phase space analysis of its stable points. In parallel, we represent radial basis functions (RBFs)-based differential quadrature methods (DQMs) to close the solution of the equation. The stability analysis of the recommended method is demonstrated. Some initial-boundary value problems are considered test problems. The numerical results indicate extremely exact and stable initial and boundary conditions in the same domain with dissimilar time ranges.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6806906

DOI: 10.1155/2022/6806906

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