Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran.
10.22034/cmde.2025.69053.3389
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 two dimensional Haar wavelet with iteration technique. Subsequently, the Haar wavelet collocation method is employed to address the linear equation derived in the prior step. Numerical simulations are conducted to rigorously evaluate the performance of the proposed algorithm. The results demonstrate that the scheme is not only computationally efficient but also highly accurate across various parameter configurations, including different fractional orders ($\alpha$), nonlinearity strengths ($\eta$), and coefficients ($\xi, \beta$). Consequently, this work establishes the presented Haar wavelet iterative method as a powerful and reliable tool for solving this important class of nonlinear fractional differential equations.
Alkhafaji, Z. and Khani, A. (2025). An approach for solving the generalized fractional Burgers-Fisher equation. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2025.69053.3389
MLA
Alkhafaji, Z. , and Khani, A. . "An approach for solving the generalized fractional Burgers-Fisher equation", Computational Methods for Differential Equations, , , 2025, -. doi: 10.22034/cmde.2025.69053.3389
HARVARD
Alkhafaji, Z., Khani, A. (2025). 'An approach for solving the generalized fractional Burgers-Fisher equation', Computational Methods for Differential Equations, (), pp. -. doi: 10.22034/cmde.2025.69053.3389
CHICAGO
Z. Alkhafaji and A. Khani, "An approach for solving the generalized fractional Burgers-Fisher equation," Computational Methods for Differential Equations, (2025): -, doi: 10.22034/cmde.2025.69053.3389
VANCOUVER
Alkhafaji, Z., Khani, A. An approach for solving the generalized fractional Burgers-Fisher equation. Computational Methods for Differential Equations, 2025; (): -. doi: 10.22034/cmde.2025.69053.3389
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