Open AccessAn Efficient Technique for solving Lane-Emden Equation
Author(s) -
Eman Hassan Ouda Alfrdji
Publication year - 2020
Publication title -
mağallaẗ al-qādisiyyaaẗ li-l-ʻulūm al-ṣirfaẗ
Language(s) - English
Resource type - Journals
eISSN - 2411-3514
pISSN - 1997-2490
DOI - 10.29350/jops.2020.25.1.977
Subject(s) - collocation (remote sensing) , orthogonal collocation , mathematics , matrix (chemical analysis) , orthogonal polynomials , collocation method , equation solving , computer science , mathematical optimization , algorithm , mathematical analysis , differential equation , materials science , ordinary differential equation , machine learning , composite material
The orthogonal Boubaker polynomials and their operational matrix of derivatives were deduced, introduced a new efficient approximate method for solving Lane-Emden equation with initial conditions via collocation method. Some numerical examples were given to demonstrate the applicability of this method. The results have been compared with exact solutions to show that they achieved a high accuracy.