On the numerical solution of Lane-Emden type equations

Yahya Qaid Hasan

Abstract


In this paper, a reliable algorithm is employed to investigate the di®erential equationsof Lane-Emden type. The algorithm rest mainly on the power series method with an alternateframework designed to overcome the di±culty of the singular point. The proposed framework isapplied to a generalization of Lane-Emden equations so that it can be used in di®erential equationsof the same type.

Keywords


Lane-Emden type equations; power series method; Chandrasekhar equation; Taylor series method.

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