Geodesic
Bicompact scheme for linear inhomogeneous transport equation
Matematičeskoe modelirovanie, Tome 25 (2013) no. 5, pp. 55-66

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Generalization of bicompact finite-difference schemes, constructed for homogeneous linear transport equation, has been carried out in the case of inhomogeneous transport equation. This equation describes transport of particles or radiation in media. Bicompact scheme is constructed by means of method of lines for initial unknown function and additional unknown mesh function defined as the integral average of decision function over space cells. Comparison of the method calculation results with the conservative-characteristic method results has been done. The last method might be assigned to bicompact schemes too although it is based on the idea of true distribution of coming fluxes over cell edges.
Mots-clés : transport equation, redistribution of fluxes.
Keywords: finite-difference schemes, bicompact schemes, conservative schemes, Runge–Kutta methods 
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     author = {E. N. Aristova and D. F. Baydin and B. V. Rogov},
     title = {Bicompact scheme for linear inhomogeneous transport equation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {55--66},
     publisher = {mathdoc},
     volume = {25},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_5_a4/}
}
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E. N. Aristova; D. F. Baydin; B. V. Rogov. Bicompact scheme for linear inhomogeneous transport equation. Matematičeskoe modelirovanie, Tome 25 (2013) no. 5, pp. 55-66. http://geodesic.mathdoc.fr/item/MM_2013_25_5_a4/