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.
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Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 100–107, January–February 2009.
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Prusov, V.A., Doroshenko, A.E. & Chernysh, R.I. A method for numerical solution of a multidimensional convection-diffusion problem. Cybern Syst Anal 45, 89–95 (2009). https://doi.org/10.1007/s10559-009-9074-8
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DOI: https://doi.org/10.1007/s10559-009-9074-8