DOI: 10.3390/fractalfract7080628 ISSN:
Solving General Fractional Lane-Emden-Fowler Differential Equations Using Haar Wavelet Collocation Method
Kholoud Saad Albalawi, Ashish Kumar, Badr Saad Alkahtani, Pranay Goswami- Statistics and Probability
- Statistical and Nonlinear Physics
- Analysis
This paper aims to solve general fractional Lane-Emden-Fowler differential equations using the Haar wavelet collocation method. This method transforms the fractional differential equation into a nonlinear system of equations, which is further solved for Haar coefficients using Newton’s method. We have constructed the higher-order Lane-Emden-Fowler equations. We have also discussed the convergence rate and stability analysis of our technique. We have explained the applications and numerically simulated the examples graphically and in tabular format to elaborate on the accuracy and efficiency of this approach.