Open AccessApproximate solution of Lane-Emden problem via modified Hermite operation matrix method
Author(s) -
Bushra E. Kashem,
Suha Shihab
Publication year - 2021
Publication title -
mağallaẗ sāmarrāʾ al-ʿulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ
Language(s) - English
Resource type - Journals
eISSN - 2789-6838
pISSN - 2663-7405
DOI - 10.54153/sjpas.2020.v2i2.113
Subject(s) - hermite polynomials , algebraic equation , matrix (chemical analysis) , mathematics , series (stratigraphy) , mathematical analysis , algebraic number , physics , nonlinear system , paleontology , materials science , quantum mechanics , composite material , biology
Lane-Emden equations are singular initial value problems and they are important in mathematical physics and astrophysics. The aim of this present paper is presenting a new numerical method for finding approximate solution to Lane-Emden type equations arising in astrophysics based on modified Hermite operational matrix of integration. The proposed technique is based on taking the truncated modified Hermite series of the solution function in the Lane-Emden equation and then transferred into a matrix equation together with the given conditions. The obtained result is system of linear algebraic equation using collection points. The suggested algorithm is applied on some relevant physical problems as Lane-Emden type equations.