In this work, we investigate fractional version of the Fisher equation and solve it by using an efficient iteration technique based on the Haar wavelet operational matrices. In fact, we convert the nonlinear equation into a Sylvester equation by the Haar wavelet collocation iteration method (HWCIM) to obtain the solution. We provide four numerical examples to illustrate the simplicity and efficiency of the technique.
Ahmadnezhad, G. , Aghazadeh, N. and Rezapour, S. (2020). Haar wavelet iteration method for solving time fractional Fisher's equation. Computational Methods for Differential Equations, 8(3), 505-522. doi: 10.22034/cmde.2020.31527.1475
MLA
Ahmadnezhad, G. , , Aghazadeh, N. , and Rezapour, S. . "Haar wavelet iteration method for solving time fractional Fisher's equation", Computational Methods for Differential Equations, 8, 3, 2020, 505-522. doi: 10.22034/cmde.2020.31527.1475
HARVARD
Ahmadnezhad, G., Aghazadeh, N., Rezapour, S. (2020). 'Haar wavelet iteration method for solving time fractional Fisher's equation', Computational Methods for Differential Equations, 8(3), pp. 505-522. doi: 10.22034/cmde.2020.31527.1475
CHICAGO
G. Ahmadnezhad , N. Aghazadeh and S. Rezapour, "Haar wavelet iteration method for solving time fractional Fisher's equation," Computational Methods for Differential Equations, 8 3 (2020): 505-522, doi: 10.22034/cmde.2020.31527.1475
VANCOUVER
Ahmadnezhad, G., Aghazadeh, N., Rezapour, S. Haar wavelet iteration method for solving time fractional Fisher's equation. Computational Methods for Differential Equations, 2020; 8(3): 505-522. doi: 10.22034/cmde.2020.31527.1475