Treatment of Fractional Burgers-Fisher equation Using Taylor Wavelets

Alkhafaji, Zaid; Khani, Ali; Aghazadeh, Nasser

doi:10.22034/cmde.2025.65899.3059

Treatment of Fractional Burgers-Fisher equation Using Taylor Wavelets

Articles in Press

Document Type : Research Paper

Authors

¹ Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.

² 1. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.\\ 2. Department of Mathematics, Izmir Institute of Technology, Izmir, Türkiye.

10.22034/cmde.2025.65899.3059

Abstract

This study introduces an approach for finding an approximate solution to the time fractional generalized Burgers-Fisher equation. The core idea of the method is to transform the nonlinear partial differential equation into a linear one through the application of the Picard iteration technique. Subsequently, the Taylor wavelet collocation method is employed to address the linear equation derived in the prior step. The proposed approach effectively resolves the time fractional generalized Burgers-Fisher equation. The numerical results are evaluated against the exact solutions obtained from the Haar wavelet Picard and homotopy perturbation methods.

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