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Article Dans Une Revue Communications in Mathematics Année : 2022

Chebyshev-quasilinearization method for solving fractional singular nonlinear Lane-Emden equations

Amir Mohammadi
  • Fonction : Auteur
  • PersonId : 1130989
Ghader Ahmadnezhad
  • Fonction : Auteur
  • PersonId : 1130990
Nasser Aghazadeh
  • Fonction : Auteur
  • PersonId : 1130991

Résumé

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.
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Dates et versions

hal-03652259 , version 1 (26-04-2022)
hal-03652259 , version 2 (09-08-2022)

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Citer

Amir Mohammadi, Ghader Ahmadnezhad, Nasser Aghazadeh. Chebyshev-quasilinearization method for solving fractional singular nonlinear Lane-Emden equations. Communications in Mathematics, In press, Volume 30 (2022), Issue 1, ⟨10.46298/cm.9895⟩. ⟨hal-03652259v2⟩

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