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Analyzing Similarity Solution of Modified Fisher Equation

Author

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

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.

Suggested Citation

  • Esen Hanaç Duruk & Mehmet Emir Koksal & Ram Jiwari & Tareq Al-shami, 2022. "Analyzing Similarity Solution of Modified Fisher Equation," Journal of Mathematics, Hindawi, vol. 2022, pages 1-9, June.
    • Handle: RePEc:hin:jjmath:6806906
    DOI: 10.1155/2022/6806906
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