An elegant exact solutions for the Emden-Fowler equations of the first kind

被引：6

作者：

Aslanov, Afgan ^{[1
]}

机构：

[1] Beykent Univ, Math & Comp Dept, Istanbul, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 05期

关键词：

ordinary differential equations; approximations and expansions; Lane-Emden equation; Emden-Fowler equation; isothermal gas sphere; BOUNDARY-VALUE-PROBLEMS; FINITE-DIFFERENCE METHODS;

D O I：

10.1002/mma.3541

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the exact solutions of the Emden-Fowler equations and generalize the n = 1 and n = 5 Lane-Emden equations. We analyze the series approximations and show that explicit formulas can be written for new classes of equations. Copyright (c) 2015 John Wiley & Sons, Ltd.

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页码：1039 / 1042

页数：4

相关论文

共 17 条

[1] A generalization of the Lane-Emden equation [J].

Aslanov, Afgan .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2008, 85 (11) :1709-1725

[2] Homotopy analysis method for singular IVPs of Emden-Fowler type [J].

Bataineh, A. Sami ;

Noorani, M. S. M. ;

Hashim, I. .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (04) :1121-1131

[3]

BINNEY J, 1987, GLASTIC DYNAMICS

[4]

Chandrasekhar S., 1957, An Introduction to the Study of Stellar Structure

[5] A FINITE-DIFFERENCE METHOD FOR A CLASS OF SINGULAR 2-POINT BOUNDARY-VALUE-PROBLEMS [J].

CHAWLA, MM ;

KATTI, CP .

IMA JOURNAL OF NUMERICAL ANALYSIS, 1984, 4 (04) :457-466

[6] ORDER H2 METHOD FOR A SINGULAR 2-POINT BOUNDARY-VALUE PROBLEM [J].

CHAWLA, MM ;

MCKEE, S ;

SHAW, G .

BIT, 1986, 26 (03) :318-326

[7]

Davis H.T., 1962, Introduction to Nonlinear Differential and Integral Equations

[8]

Erturk Vedat Suat, 2007, Mathematical & Computational Applications, V12, P135

[9]

IYENGAR SRK, 1987, NUMER MATH, V50, P363, DOI 10.1007/BF01390712

[10] FINITE-DIFFERENCE METHODS FOR A CLASS OF SINGULAR 2-POINT BOUNDARY-VALUE-PROBLEMS [J].

JAIN, RK ;

JAIN, P .

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 1989, 27 (02) :113-120