TY - JOUR ID - 12107 TI - Laguerre collocation method for solving Lane-Emden type equations JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Zamiri, Ali AU - Borhanifar, Abdollah AU - Ghannadiasl, Amin AD - Department of Mathematics, University of Mohaghegh ardabili, Ardabil, Iran. AD - Department of Civil Engineering, University of Mohaghegh Ardabili, Ardabil, Iran. Y1 - 2021 PY - 2021 VL - 9 IS - 4 SP - 1176 EP - 1197 KW - Modified generalized Laguerre polynomials KW - Numerical analysis KW - Collocation method KW - Operational matrices KW - Lane-Emden type equations DO - 10.22034/cmde.2020.35895.1621 N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_12107.html L1 - https://cmde.tabrizu.ac.ir/article_12107_1d523106de33127318248351968c7122.pdf ER -