Solving the Lane-Emden-Fowler Type Equations of Higher Orders by the Adomian Decomposition Method

被引：0
|
作者：
Wazwaz, Abdul-Majid [1 ]
Rach, Randolph
Bougoffa, Lazhar [2 ]
Duan, Jun-Sheng [3 ]
机构：
[1] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
[2] Al Imam Mohammad Ibn Saud Islamic Univ IMSIU, Fac Sci, Dept Math, Riyadh 11623, Saudi Arabia
[3] Shanghai Inst Technol, Sch Sci, Shanghai 201418, Peoples R China
来源：
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2014年 / 100卷 / 06期
基金：
上海市自然科学基金;
关键词：
Initial value problems; Singularities; Lane-Emden-Fowler equation; Adomian decomposition method; Adomian polynomials; VARIATIONAL ITERATION METHOD; BOUNDARY-VALUE-PROBLEMS; INITIAL-VALUE PROBLEMS; DIFFERENTIAL-EQUATIONS; PARABOLIC EQUATION; PADE TECHNIQUE; SINGULAR IVPS; POLYNOMIALS; ALGORITHM; CONVERGENCE;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we construct the Lane-Emden-Fowler type equations of higher orders. We study the linear and the nonlinear Lane-Emden-Fowler type equations of the third and fourth orders, where other forms can be treated in a similar manner. We use the systematic Adomian decomposition method to handle these types of equations with specified initial conditions. We confirm that the Adomian decomposition method provides an efficient algorithm for exact and approximate analytic solutions of these equations. We corroborate this study by investigating several numerical examples that emphasize initial value problems.
引用
收藏
页码：507 / 529
页数：23
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