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The numerical method for solving differential equations of Lane-Emden type by Padé approximation - MaRDI portal

The numerical method for solving differential equations of Lane-Emden type by Padé approximation (Q541330)

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scientific article; zbMATH DE number 5904628
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The numerical method for solving differential equations of Lane-Emden type by Padé approximation
scientific article; zbMATH DE number 5904628

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    The numerical method for solving differential equations of Lane-Emden type by Padé approximation (English)
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    7 June 2011
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    Summary: The numerical solution of a differential equation of Lane-Emden type is considered by Padé approximation. We apply this method to two examples. First the differential equation of Lane-Emden type is converted to a power series by a one-dimensional differential transformation, then the numerical solution of the equation is put into Padé series form. Thus, we obtain a numerical solution of the differential equation of Lane-Emden type.
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    differential equation of Lane-Emden type
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    Padé approximation
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    power series
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