Solution of the fractional planar transport equation by the Legendre polynomials

机译：勒让德多项式解分数维平面输运方程

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In this work, it is shown that we can reduce the planar fractional transport equation using the Legendre polynomials. The procedure is based on the expansion of the angular folx in terms of the Legendre polynomials, the resulting system of fractional linear diffrential equation which is solved analytically in addition, the spectral approximation is given.

机译：在这项工作中，证明了我们可以使用勒让德多项式来简化平面分数输运方程。该程序基于勒让德多项式的角fox展开式，所得的分数阶线性微分方程组通过解析求解，并给出了光谱逼近。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-4|共4页
会议地点 Nanjing(CN)
作者
Abdelouahab Kadem; Dumitru Baleanu;
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作者单位

L.M.F.N Mathematics Department, University of Setif, Algeria;

Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University- 06530, Ankara, Turkey and Institute of Space Sciences, Magurele-Bucharest, R 76911, Romania;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Transport equation; fractional calculus; steady state; scattering kernel; cross section.;

机译：输运方程；分数演算；稳态；散射核；截面;

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5. Legendre polynomial expansions and Runge-Kutta methods for ordinary differential equations. [D] . Li, Yanchao. 1994

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Solution of the fractional planar transport equation by the Legendre polynomials

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