The solution of third form of the transport equation using the singular eigenfunction method: constant source problem

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Date
2006
Journal Title
Journal ISSN
Volume Title
Publisher
Institute of Nuclear Physics of Uzbekistan Academy of Science, Turkish Atomic Energy Authority
Abstract
The third form of the transport equation has been solved using CN method. In this method the infinite medium Green’s function which has been obtained from Fourier transform technique was used. The singular eigenfunction method is based on the use of the infinite medium Green’s function. The method which we want to use in this calculation is based on the infinite medium Green’s function. This function can be written in terms of singular eigenfunctions of the Case’s method. This method leads to obtain analytical expression of the problem easily. The numerical results are in good agreement with FN method.
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Keywords
Constant source problem, Sabit kaynak problemi, Singular eigenfunction method, Tekil özfonksiyon yöntemi, Transport equation, Taşıma denklemi
Citation
Kaşkaş, A., Güleçyüz, M. C. ve Türeci, G. (2006). The solution of third form of the transport equation using the singular eigenfunction method: constant source problem. The Third Eurasian Conference Nuclear Science and Its Application : Proceedings, (s. 104-106). 5-8 October, 2004. Tashkent, Uzbekistan.