TY - JOUR
ID - 50382
TI - Non-Standard Finite Difference Schemes for Solving Singular Lane-Emden Equation
JO - International Journal of Research in Industrial Engineering
JA - RIEJ
LA - en
SN - 2783-1337
AU - Saberi Najafi, H.
AU - Yaghoubi, A.
AD - Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.
AD - Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, University Campus2, Rasht, Iran.
Y1 - 2017
PY - 2017
VL - 6
IS - 2
SP - 161
EP - 171
KW - Non-Standard finite difference
KW - Lane-Emden equation
KW - Astrophysics
DO - 10.22105/riej.2017.92303.1001
N2 - In this paper we construct Non-Standard finite difference schemes (NSFD) for numerical solution of nonlinear Lane-Emden type equations which are nonlinear ordinary dierential equations on semi-infinite domain. They are categorized as singular initial value problems. This equation describes a variety of phenomena in theoretical physics and astrophysics. The presented schemes are obtained by using the Non-Standard finite difference method. The use of NSFD method and its approximations play an important role for the formation of stable numerical methods. The main advantage of the schemes is that the algorithm is very simple and very easy to implement. Thus, this method may be applied as a simple and accurate solver for ODEs and PDEs and it can also be utilized as an accurate algorithm to solve linear and nonlinear equations arising in physics and other fields of applied mathematics. Illustrative examples have been discussed to demonstrate validity and applicability of the technique and the results have been compared with the exact solutions.
UR - http://www.riejournal.com/article_50382.html
L1 - http://www.riejournal.com/article_50382_48c8abdb20347aa1aecccb32f92c955a.pdf
ER -