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Title
Treatment of Fractional Burgers-Fisher equation Using Taylor Wavelets
Type of Research Article
Keywords
Numerical methods for wavelets, Fractional partial differential equation, Fractional derivatives and integrals, Taylor wavelet, Collocation method.
Abstract
This study introduces an approach for finding an approximate solution to the time fractional generalized BurgersFisher 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 method
Researchers (First Researcher)، Ali Khani (Second Researcher)، Nasser Aghazadeh (Third Researcher)