Abstract
This chapter starts with the motivation to model neutron movement as anomalous diffusion, particularly subdiffusion, and then presents the derivation of the fractional-order neutron telegraph model using the stochastic framework of continuous-time random walk. Its longtime and short-time behaviors are analyzed. The mean-squared displacement of various transport models is calculated, and the comparative study is carried out. Finally, all the integer-order and fractional-order partial differential equation models are solved using separation of variables method to study the spatial distribution and time evolution of neutron flux in the slab reactor.
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© 2018 Springer Nature Singapore Pte Ltd.
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Vyawahare, V., Nataraj, P.S.V. (2018). Development and Analysis of Fractional-order Neutron Telegraph Equation. In: Fractional-order Modeling of Nuclear Reactor: From Subdiffusive Neutron Transport to Control-oriented Models. Springer, Singapore. https://doi.org/10.1007/978-981-10-7587-2_3
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DOI: https://doi.org/10.1007/978-981-10-7587-2_3
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Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-7586-5
Online ISBN: 978-981-10-7587-2
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