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Some Solution Methods for Lane-Emden Differential Equation when the Polytropic Index is Three

Year: 2024

Type: article

Abstract: The Lane-Emden equation is one of the widely used and challenging equations in nonlinear dynamics. It is a central equation in the theory of steller structures. In this paper, Lane-Emden equation when has been solved using few different methods. Pade approximant has also been calculated of the obtained solution. The results obtained using semi-analytical methods are compared with the solutions obtained using well-known numerical methods namely Runge-Kutta’s fourth order method and ODE 45 graphically.

Source: American Scientific Research Journal for Engineering, Technology, and Sciences

Authors: Sashinka Wimaladharma, Dinuka de Silva

Institution: University of Kelaniya

Language: English

Topic: Mathematical and Computational Methods

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7024892656

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