Numerische Simulation von Diffusionsprozessen mit nichtnegativitätserhaltenden konservativen Differenzenverfahren / Numerical Simulation of Diffusion Processes with conservative difference schemes of non-negative type
1982 ◽
Vol 37
(8)
◽
pp. 759-768
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Keyword(s):
After analyzing the general linear equation of diffusion (of a substance or of energy) with source term and given influx across the boundary we describe a method for constructing explicit and implicit conservative difference schemes which also preserve nonnegativity. We call a scheme “conservative” if via a convenient sum-analogue it does exactly imitate the conservation of a substance or energy. We concretize this method for the spatially two-dimensional heat equation in a rectangle with given influx. We also present a conservative implicit scheme with alternating directions
1988 ◽
Vol 28
(3)
◽
pp. 62-71
1974 ◽
Vol 14
(3)
◽
pp. 257-262
1969 ◽
Vol 9
(4)
◽
pp. 296-305
◽
1994 ◽
Vol 191
(5-6)
◽
pp. 373-378
◽