A method for numerical solution of a multidimensional convection-diffusion problem |
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| Authors: | V A Prusov A E Doroshenko R I Chernysh |
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| Affiliation: | (1) National Taras Shevchenko University of Kyiv, Kyiv, Ukraine;(2) National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv, Ukraine;(3) Kyiv Scientific and Research Institute of Hydrometeorology, Kyiv, Ukraine |
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| Abstract: | We propose a modification of the additive splitting algorithm to solve the convection-diffusion problem using an efficient
finite-difference scheme. The modification decreases the number of data exchanges and their amount during the numerical solution
of a system of multidimensional equations. Approximation, stability, and convergence are considered.
Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 100–107, January–February 2009. |
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| Keywords: | additive splitting algorithm convection-diffusion problem convergence |
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