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Mathematics

Al-Qadisiyah Journal of Pure Science

2020

Boubaker polynomial

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An Efficient Technique For Solving Lane-Emden Equation, Eman Hassan Ouda Jan 2020

An Efficient Technique For Solving Lane-Emden Equation, Eman Hassan Ouda

Al-Qadisiyah Journal of Pure Science

The orthogonal Boubaker polynomials and their operational matrix of derivatives were deduced, introduced a new efficient approximate method for solving Lane-Emden equation with initial conditions via collocation method. Some numerical examples were given to demonstrate the applicability of this method. The results have been compared with exact solutions to show that they achieved a high accuracy.