Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method

Mohamed El-Gamel, W. El-bashbashy, Atallah El-Shenawy

Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt.

DOI: 10.4236/am.2014.54056                

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.

Keywords

B-Spline; Time-Dependent; Numerical Solutions; Emden-Fowler Type

Conflicts of Interest

The authors declare no conflicts of interest.

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