Laguerre collocation method for solving Lane-Emden type equations

Zamiri, Ali; Borhanifar, Abdollah; Ghannadiasl, Amin

doi:10.22034/cmde.2020.35895.1621

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	Laguerre collocation method for solving Lane-Emden type equations
Computational Methods for Differential Equations
مقاله 17، دوره 9، شماره 4، دی 2021، صفحه 1176-1197 اصل مقاله (256.31 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.35895.1621
نویسندگان
Ali Zamiri ¹؛ Abdollah Borhanifar ¹؛ Amin Ghannadiasl ²
¹Department of Mathematics, University of Mohaghegh ardabili, Ardabil, Iran.
²Department of Civil Engineering, University of Mohaghegh Ardabili, Ardabil, Iran.
چکیده
In this paper, a Laguerre collocation method is presented in order to obtain numerical 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 modified generalized Laguerre polynomials(MGLPs) that transforms the solution 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 coefficients. By solving this system, coefficients 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.
کلیدواژه‌ها
Modified generalized Laguerre polynomials؛ Numerical analysis؛ Collocation method؛ Operational matrices؛ Lane-Emden type equations

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Laguerre collocation method for solving Lane-Emden type equations