Laguerre collocation method for solving Lane-Emden type equations
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-9-4_017
تاریخ نمایه سازی: 15 بهمن 1401
Abstract:
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.
Keywords:
Modified generalized Laguerre polynomials , Numerical analysis , Collocation method , Operational matrices , Lane-Emden type equations
Authors
Ali Zamiri
Department of Mathematics, University of Mohaghegh ardabili, Ardabil, Iran.
Abdollah Borhanifar
Department of Mathematics, University of Mohaghegh ardabili, Ardabil, Iran.
Amin Ghannadiasl
Department of Civil Engineering, University of Mohaghegh Ardabili, Ardabil, Iran.
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