Picard-Reproducing Kernel Hilbert Space Method for Solving Generalized Singular Nonlinear Lane-Emden Type Equations

被引：28

作者：

Azarnavid, Babak ^{[1
]}

Parvaneh, Foroud ^{[2
]}

Abbasbandy, Saeid ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Ghazvin 3414916818, Iran

[2] Islamic Azad Univ, Kermanshah Branch, Dept Sci, Kermanshah, Iran

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2015年 / 20卷 / 06期

关键词：

reproducing kernel Hilbert space; Picard iteration; error estimate; convergence; singular nonlinear Lane-Emden type equations; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; COLLOCATION METHOD;

D O I：

10.3846/13926292.2015.1111953

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An iterative method is discussed with respect to its effectiveness and capability of solving singular nonlinear Lane-Emden type equations using reproducing kernel Hilbert space method combined with the Picard iteration. Some new error estimates for application of the method are established. We prove the convergence of the combined method. The numerical examples demonstrates a good agreement between numerical results and analytical predictions.

引用

页码：754 / 767

页数：14

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