TITLE:
Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method
AUTHORS:
Mohamed El-Gamel, W. El-bashbashy, Atallah El-Shenawy
KEYWORDS:
B-Spline; Time-Dependent; Numerical Solutions; Emden-Fowler Type
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.4,
March
10,
2014
ABSTRACT: A numerical method based on B-spline is
developed to solve the time-dependent Emden-Fow- ler-type equations. We also present a reliable
new algorithm based on B-spline to overcome the difficulty of the singular
point at x = 0. The error analysis of the method is described. Numerical results are
given to illustrate the efficiency of the proposed method.