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Far East Journal of Applied Mathematics

Far East Journal of Applied Mathematics
Volume 29, Issue 2, Pages 217 - 232 (November 2007)

ON THE NUMERICAL SOLUTION OF LANE-EMDEN DIFFERENTIAL EQUATIONS WITH INDEX-M
Nuran Guzel (Turkey), Mustafa Bayram (Turkey) and Coşkun Guler (Turkey)

Abstract:
In this paper, numerical solution of Lane-Emden differential equations with index-m has been presented by Padé approximation. However, in general, the solution of Lane-Emden equation cannot be given analytically. This type of non-linear differential equations can be solved only numerically. An example was presented to show the ability of the method for Lane-Emden differential equation. Numerical solution to Lane-Emden differential equations with index-m has been discussed. MAPLE computer algebra systems are used for numerical calculations [9].

Keywords and phrases: Lane-Emden differential type equation, index-m, power series, Padé approximation, MAPLE.

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