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Numerical Solutions for the Time-Dependent Emden-Fowler-Type Equations by B-Spline Method
Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt
Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt
Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt
- 1 Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt
- 2 Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt
- 3 Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt
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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.
KeywordsB-SplineTime-DependentNumerical SolutionsEmden-Fowler Type
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