Laguerre collocation method for solving Lane-Emden type equations

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Zamiri Alireza; Borhanifar Abdollah; Ghannadiasl Amin

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Journal Paper

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Journal: Computational Methods for Differential Equations Year:2021 | Volume:9 | Issue:4 Page(s): 1176-1197

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Information Journal Paper

Title

Laguerre collocation method for solving Lane-Emden type equations

Author(s)

Zamiri Alireza | Borhanifar Abdollah | Ghannadiasl Amin | Issue Writer Certificate

Keywords

Modi

ed generalized Laguerre polynomials

Numerical analysis

Collocation method

Opera-tional matrices

Lane-Emden type equations

Abstract

In this paper, a Laguerre Collocation method is presented in order to obtain numer-ical solutions for linear and nonlinear Lane-Emden type equations and their initial conditions. The basis of the present method is operational matrices with respect to Modi, ed generalized Laguerre polynomials(MGLPs) that transforms the solu-tion of main equation and its initial conditions to the solution of a matrix equation corresponding to the system of algebraic equations with the unknown Laguerre co-e, cients. By solving this system, coe, cients of approximate solution of the main problem will be determined. Implementation of the method is easy and has more accurate results in comparison with results of other methods.

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APA: Copy

Zamiri, Alireza, Borhanifar, Abdollah, & Ghannadiasl, Amin. (2021). Laguerre collocation method for solving Lane-Emden type equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 9(4), 1176-1197. SID. https://sid.ir/paper/1058488/en

Vancouver: Copy

Zamiri Alireza, Borhanifar Abdollah, Ghannadiasl Amin. Laguerre collocation method for solving Lane-Emden type equations. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2021;9(4):1176-1197. Available from: https://sid.ir/paper/1058488/en

IEEE: Copy

Alireza Zamiri, Abdollah Borhanifar, and Amin Ghannadiasl, “Laguerre collocation method for solving Lane-Emden type equations,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 9, no. 4, pp. 1176–1197, 2021, [Online]. Available: https://sid.ir/paper/1058488/en

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