NDLI: Bicompact schemes for an inhomogeneous linear transport equation

Content Provider	Springer Nature Link
Author	Aristova, E. N. Baydin, D. F. Rogov, B. V.
Copyright Year	2013
Abstract	The bicompact finite-difference schemes constructed for a homogeneous linear transport equation for the case of the inhomogeneous transport equation are generalized. The equation describes the transport of particles or radiation in media. Using the method of lines, the bicompact scheme is constructed for the initial unknown function and the complementary unknown mesh function defined as the integral average of the initial function with respect to space cells. The comparison of the calculation results of the proposed method and the conservative-characteristic method is carried out. The latter can be assigned to the class of bicompact finite-difference schemes; however, this method is based on the idea of the redistribution of incoming fluxes from illuminated edges to unilluminated edges.
Starting Page	586
Ending Page	594
Page Count	9
File Format	PDF
ISSN	20700482
Journal	Mathematical Models and Computer Simulations
Volume Number	5
Issue Number	6
e-ISSN	20700490
Language	English
Publisher	Springer US
Publisher Date	2013-11-07
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	transport equation finite-difference schemes bicompact schemes conservative schemes Runge-Kutta methods redistribution of fluxes Mathematical Modeling and Industrial Mathematics Simulation and Modeling
Content Type	Text
Resource Type	Article
Subject	Modeling and Simulation Computational Mathematics

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