A numerical approach for solving singular nonlinear LaneEmden type equations arising in astrophysics

• Main Authors: Nasab, Aliasghar Kazemi, Kilicman, Adem, Atabakan, Z. Pashazadeh, Leong, Wah June
• Format: Article
• Language: English
• Published: Elsevier 2015
• Online Access: http://psasir.upm.edu.my/id/eprint/43543/1/A%20numerical%20approach%20for%20solving%20singular%20nonlinear%20Lane.pdf; http://psasir.upm.edu.my/id/eprint/43543/

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.