Numerical approximation for fractional neutron transport equation
type: Item
instance of: scholarly article
title: Numerical approximation for fractional neutron transport equation
zbMATH Open document ID: 1477.82019
DOI: 10.1155/2021/6676640
author: Zhengang Zhao
author: Yunying Zheng
published in: Journal of Mathematics
publication date: 2021-06-22T00:00:00Z
review text: Summary: Fractional neutron transport equation reflects the anomalous transport processes in nuclear reactor. In this paper, we will construct the fully discrete methods for this type of fractional equation with Riesz derivative, where the generalized WENO5 scheme is used in spatial direction and Runge-Kutta schemes are adopted in temporal direction. The linear stabilities of the generalized WENO5 schemes with different stages and different order ERK are discussed detailed. Numerical examples show the combinations of forward Euler/two-stage, second-order ERK and WENO5 are unstable and the three-stage, third-order ERK method with generalized WENO5 is stable and can maintain sharp transitions for discontinuous problem, and its convergence reaches fifth order for smooth boundary condition.
Mathematics Subject Classification ID: 82M10
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 82D75
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7362015
describes a project that uses: FODE
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6676640
OpenAlex ID: W3138986244
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description: scientific article; zbMATH DE number 7362015