Article ID Journal Published Year Pages File Type
759617 Communications in Nonlinear Science and Numerical Simulation 2012 6 Pages PDF
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.

Research highlights► Two dimensional transport equation was transformed into a Fredholm integral equation. ► The subcritical case was investigated. ► Tau method can be applied to solve numerically the obtained equation

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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