A numerical approach for solving singular nonlinear Lane-Emden type equations arising in astrophysics

作者：Nasab A Kazemi; Kilicman A^*; Atabakan Z Pashazadeh; Leong W J

来源：New Astronomy, 2015, 34: 178-186.

DOI：10.1016/j.newast.2014.06.008

• Wavelet analysis method
• Chebyshev finite difference method
• Lane-Emden type equations
• Singular IVPs
• Isothermal gas spheres

In this paper, we suggest a numerical method based upon hybrid of Chebyshev wavelets and finite difference methods for solving well-known nonlinear initial-value problems of Lane-Emden type. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of nonlinear algebraic equations. Making a comparison among the obtained results using the present method with those ones reported in literature by some other well-known methods confirms the accuracy and computational efficiency of the present technique.

• 出版日期2015-1