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

AM > Vol.5 No.4, March 2014

Applied Mathematics

Volume 5, Issue 4 (March 2014)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

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

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Download as PDF (Size: 256KB) PP. 593-600

DOI: 10.4236/am.2014.54056 5,887 Downloads 8,107 Views Citations

Author(s)

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

Affiliation(s)

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

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

Share and Cite:

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.

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