Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline MethodReport as inadecuate




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A numerical method based on B-spline isdeveloped to solve the time-dependent Emden-Fow- ler-type equations. We also present a reliablenew algorithm based on B-spline to overcome the difficulty of the singularpoint at x = 0. The error analysis of the method is described. Numerical results aregiven to illustrate the efficiency of the proposed method.

KEYWORDS

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

Cite this paper

El-Gamel, M. , El-bashbashy, W. and El-Shenawy, A. 2014 Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method. Applied Mathematics, 5, 593-600. doi: 10.4236-am.2014.54056.





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

Source: http://www.scirp.org/



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