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Title
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Numerical solution of the general form of the Emden-Fowler equations with the Moving Least Squares method
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Type
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Presentation
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Keywords
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Emden-Fowler equations, Volterra integral equation, Moving least squares method.
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Abstract
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In the present paper, we have used MLS method to solve the integral form of the Emden-Fowler equations with initial conditions. The Volterra integral form of the Emden-Fowler equations overcomes its singular behavior in x = 0, and the MLS method leads to a satisfactory solution of the equation. At the end, the eciency of the proposed method will be shown with presenting a numerical example and comparing it answer with the accurate answer as well as the resulting answers from Adomian decomposition method and Variational iteration method.
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Researchers
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Sasan Asadpour Galugahi (Third Researcher), Allah Bakhsh Yazdani Cherati (Second Researcher), Hassan Hosseinzadeh (First Researcher)
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