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Two-dimensional transport equation as Fredholm integral equation

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2012

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Elsevier Science Bv

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Matematik
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Abstract

The transport equation has many applications in various fields of science and engineering. In this paper we shown that we can transform a transport equation in two-dimensional case into a Fredholm integral equation of the second kind with a compact integral operator for the angular flux by using the Sumudu transform. (C) 2011 Elsevier B.V. All rights reserved.

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Transport Equation, Sumudu Transform, Fredholm Integral Equation, Discrete-Ordinates Method

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Kadem, A., Baleanu, D. (2012). Two-dimensional transport equation as Fredholm integral equation. Communications In Nonlinear Science And Numerical Simulation, 17(2), 530-535. http://dx.doi.org/ 10.1016/j.cnsns.2011.01.027

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Q1

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Volume

17

Issue

2

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530

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535