ANALYSIS OF LANE-EMDEN EQUATION BY USING NONSTANDARD FINITE DIFFERENCE METHODS

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Published: 2018-04-12

Page: 158-170


R. RANGARAJAN

Department of Studies in Mathematics, University of Mysore, Mysuru, India.

CHANDRALI BAISHYA *

Department of Studies and Research in Mathematics, Tumkur University, Tumkur -572103, Karnataka, India.

*Author to whom correspondence should be addressed.


Abstract

In this paper,we construct two nonstandard finite difference schemes viz. nonstandard adomian decomposition method and nonstandard Runge-Kutta fourth order method based on the eigenvalues at the fixed points. Stability of the nonstandard Runge-Kutta fourth order method is analysed with the assistance of Pade approximant. Positivity of the solution is taken into consideration to construct an appropriate nonstandard adomian decomposition method for Lane-Emden equation. A comparative graphical analysis is made among these methods and standard Runge-Kutta fourth order method.

Keywords: Lane-emden equation, pade approximant, stability, nonstandard finite difference method


How to Cite

RANGARAJAN, R., & BAISHYA, C. (2018). ANALYSIS OF LANE-EMDEN EQUATION BY USING NONSTANDARD FINITE DIFFERENCE METHODS. Asian Journal of Mathematics and Computer Research, 24(3), 158–170. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/1058

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