Solution of the generalized Emden-Fowler equations by the hybrid functions method

H R Tabrizidooz; H R Marzban; M Razzaghi

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Solution of the generalized Emden-Fowler equations by the hybrid functions method

机译：混合函数法求解广义Emden-Fowler方程

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In this paper, we present a numerical algorithm for solving the generalized Emden-Fowlerequations, which have many applications in mathematical physics and astrophysics. Themethod is based on hybrid functions approximations. The properties of hybrid functions,which consist of block-pulse functions and Lagrange interpolating polynomials, are presented.These properties are then utilized to reduce the computation of the generalized Emden—Fowlerequations to a system of nonlinear equations. The method is easy to implement and yields veryaccurate results.

机译：在本文中，我们提出了一种求解广义Emden-Fowlerequations的数值算法，该算法在数学物理学和天体物理学中都有许多应用。该方法基于混合函数近似。给出了由块脉冲函数和Lagrange插值多项式组成的混合函数的性质。然后利用这些性质将广义Emden-Fowlerequations的计算减少到一个非线性方程组。该方法易于实施并且产生非常准确的结果。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2009年第2期|共5页
作者
H R Tabrizidooz; H R Marzban; M Razzaghi;
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正文语种 eng
中图分类 530KB001;
关键词
Solution; generalized Emden-Fowler equations; hybrid functions;

机译：解;广义Emden-Fowler方程;混合函数;

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1. Solution of the generalized Emden-Fowler equations by the hybrid functions method [J] . H R Tabrizidooz, H R Marzban, M Razzaghi Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2009,第2期

机译：混合函数法求解广义Emden-Fowler方程
2. General solution and generalized Ulam-Hyers stability of a generalized n- type additive quadratic functional equation in Banach space and Banach algebra: direct and fixed point methods [J] . S. Murthy, M. Arunkumar, V. Govindan International Journal of Advanced Mathematical Sciences . 2015,第1期

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Solution of the generalized Emden-Fowler equations by the hybrid functions method

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