Amir Mohammadi ; Ghader Ahmadnezhad ; Nasser Aghazadeh - Chebyshev-quasilinearization method for solving fractional singular nonlinear Lane-Emden equations

cm:9895 - Communications in Mathematics, September 19, 2022, Volume 30 (2022), Issue 1 - https://doi.org/10.46298/cm.9895
Chebyshev-quasilinearization method for solving fractional singular nonlinear Lane-Emden equations

Authors: Amir Mohammadi ; Ghader Ahmadnezhad ; Nasser Aghazadeh

In this paper, we propose a method for solving some classes of the singular fractional nonlinear Lane-Emden type equations. The method is proposed by utilizing the second-kind Chebyshev wavelets in conjunction with the quasilinearization technique. The operational matrices for the second-kind Chebyshev wavelets are used. The method is tested on the fractional standard Lane-Emden equation, the fractional isothermal gas spheres equation, and some other examples. We compare the results produced by the present method with some well-known results to show the accuracy and efficiency of the method.


Volume: Volume 30 (2022), Issue 1
Published on: September 19, 2022
Accepted on: August 18, 2019
Submitted on: May 6, 2019
Keywords: Fractional differential equation,Singular Lane-Emden equation,Numerical solution,Second-kind Chebyshev wavelets,Quasilinearization,[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]


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