Numerical solution of singular IVPs of Lane-Emden type using a modified Legendre-spectral method

Ali Mohamadnejad Rismani; Hossein Monfared

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Numerical solution of singular IVPs of Lane-Emden type using a modified Legendre-spectral method

机译：改进的Legendre谱方法对Lane-Emden型奇异IVP的数值解

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In this paper, a numerical method for singular initial value problems of the Lane-Emden type in the second-order ordinary differential equations is proposed. The method changes solving the equation to solving a Volterra integral equation. We have applied the improved Legendre-spectral method to solve Lane-Emden type equations. The Legendre Gauss points are used as collocation nodes and Lagrange interpolation is employed in Volterra term. The results reveal that the method is effective, simple and accurate.

机译：本文提出了一种求解二阶常微分方程中Lane-Emden型奇异初值问题的数值方法。该方法将求解方程更改为求解Volterra积分方程。我们已经应用了改进的勒让德谱方法来求解Lane-Emden型方程。勒让德高斯点用作并置节点，在Volterra项中采用拉格朗日插值。结果表明，该方法有效，简便，准确。

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来源
《Applied Mathematical Modelling》 |2012年第10期|p.4830-4836|共7页
作者
Ali Mohamadnejad Rismani; Hossein Monfared;
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作者单位

Young Researchers club, Tabriz Branch, Islamic Azad University, Tabriz, Iran Islamic Azad University, Germi Branch, Germi, Iran;

Young Researchers club, Tabriz Branch, Islamic Azad University, Tabriz, Iran Islamic Azad University, Germi Branch, Germi, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
lane-emden type equations; legendre-spectral method; lagrange interpolation; semi-infinite; singular IVPs;

机译：车道嵌入式模型;勒让谱法;拉格朗日插值半无限单个IVP;

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专利

1. On using a modified Legendre-spectral method for solving singular IVPs of Lane-Emden type [J] . H.Adibi, A.M. Rismani Computers & mathematics with applications . 2010,第7期

机译：关于使用改进的Legendre谱方法求解Lane-Emden型奇异IVP
2. Solutions of singular IVPs of Lane-Emden type by the variational iteration method [J] . Ahmet Yildirim Turgut _zs Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第6期

机译：变分迭代法求解Lane-Emden型奇异IVP
3. Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method [J] . Yildirim A, Ozis T Physics Letters, A . 2007,第1a2期

机译：同伦摄动法求解Lane-Emden型奇异IVP
4. A new algorithm for solving singular IVPs of Lane-Emden type [C] . Sandile S Motsa, Precious Sibanda Latest trends on applied mathematics, simulation, modelling . 2010

机译：一种求解Lane-Emden型奇异IVP的新算法
5. Rediscretizations, moving meshes and solution mapping in h, p, k framework for BVPs and IVPs. [D] . Stone, Tyler. 2007

机译：B，VP和IVP的h，p，k框架中的重新分配，移动网格和解决方案映射。
6. Two Different Methods for Numerical Solution of the Modified Burgers Equation [O] . Seydi Battal Gazi Karakoç, Ali Başhan, Turabi Geyikli -1

机译：修正的Burgers方程数值解的两种不同方法
7. On using a modified Legendre-spectral method for solving singular IVPs of Lane–Emden type [O] . Adibi H., Rismani A.M. 2010

机译：关于使用改良的勒让德谱方法求解Lane–Emden型奇异IVP

Numerical solution of singular IVPs of Lane-Emden type using a modified Legendre-spectral method

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