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Title
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Numerical Solution of the Lane-Emden Equations with Moving Least Squares Method
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Type
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JournalPaper
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Keywords
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Lane-Emden equations; Volterra integral equation; Moving least squares method
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Abstract
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In the present paper, we have used moving least squares (MLS) method to solve the integral form of the Lane-Emden equations with initial conditions. The Volterra integral form of the Lane-Emden equations overcomes their singular behavior at x = 0, and the MLS method leads to a satisfactory solution for the equation. The convergence of the method is investigated and finally its applicability is displayed through numerical examples.
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Researchers
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Allah Bakhsh Yazdani Cherati (Third Researcher), Hassan Hosseinzadeh (Second Researcher), Sasan Asadpour Galugahi (First Researcher)
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