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An operational matrix method for solving Lane–Emden equations arising in astrophysics
Author(s) -
Öztürk Yalçın,
Gülsu Mustafa
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2969
Subject(s) - mathematics , algebraic equation , matrix (chemical analysis) , chebyshev filter , algebraic number , algebra over a field , chebyshev polynomials , mathematical analysis , pure mathematics , physics , nonlinear system , materials science , quantum mechanics , composite material
This paper deals with the numerical solution of Lane–Emden equations in arising in astrophysics by using truncated shifted Chebyshev series together with the operational matrix. The main characteristic behind the approach using this technique is that it reduces such problems to those of solving a system of algebraic equations those greatly simplifying the problem. Some examples are included to demonstrate the validity and applicability of the this technique. Copyright © 2013 John Wiley & Sons, Ltd.