Two-Dimensional Transport Equation as Fredholm Integral Equation
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Date
2012
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science Bv
Open Access Color
Green Open Access
No
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No
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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.
Description
Keywords
Transport Equation, Sumudu Transform, Fredholm Integral Equation, Discrete-Ordinates Method, Sumudu transform, Laplace transform, Fredholm integral equation, discretization, Fredholm integral equations, First-order hyperbolic equations, linear transport equation
Fields of Science
0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
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
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
9
Source
Communications in Nonlinear Science and Numerical Simulation
Volume
17
Issue
2
Start Page
530
End Page
535
PlumX Metrics
Citations
CrossRef : 7
Scopus : 9
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Mendeley Readers : 10
SCOPUS™ Citations
9
checked on Feb 24, 2026
Web of Science™ Citations
7
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Page Views
1
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