AN EFFECTIVE NUMERICAL METHOD FOR SOLVING THE NONLINEAR SINGULAR LANE-EMDEN TYPE EQUATIONS OF VARIOUS ORDERS
Keyword(s):
The Lane-Emden type equations are employed in the modeling of several phenomena in the areas of mathematical physics and astrophysics. These equations are categorized as non-linear singular ordinary differential equations on the semi-infinite domain. In this paper, the generalized fractional order of the Chebyshev orthogonal functions (GFCFs) of the first kind have been introduced as a new basis for Spectral methods, and also presented an effective numerical method based on the GFCFs and the collocation method for solving the nonlinear singular Lane-Emden type equations of various orders. Obtained results have compared with other results to verify the accuracy and efficiency of the presented method.
2014 ◽
Vol 687-691
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pp. 601-605
2018 ◽
Vol 21
(6)
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pp. 1598-1618
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2014 ◽
Vol 2014
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pp. 1-8
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2006 ◽
Vol 24
(2)
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pp. 111-124
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Keyword(s):
2020 ◽
Vol 0
(0)
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2016 ◽
Vol 9
(4)
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pp. 619-639
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