The Numerical Method for Solving Differential Equations of Lane‐Emden Type by Padé Approximation | Zendy

Muhammed Yiğider | Zendy; Khatereh Tabatabaei | Zendy; Ercan Çelık | Zendy

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The Numerical Method for Solving Differential Equations of Lane‐Emden Type by Padé Approximation

Author(s) -

Muhammed Yiğider,

Khatereh Tabatabaei,

Ercan Çelık

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/479396

Subject(s) - type (biology) , differential (mechanical device) , mathematics , differential equation , mathematical analysis , physics , geology , thermodynamics , paleontology

Numerical solution differential equation of Lane-Emden type is considered by Padé approximation. We apply these method to two examples. First differential equation of Lane-Emden type has been converted to power series by one-dimensional differential transformation, then the numerical solution of equation was put into Padé series form. Thus, we have obtained numerical solution differential equation of Lane-Emden type

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