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Sibirskii Zhurnal Industrial'noi Matematiki, 2004, Volume 7, Number 2, Pages 148–161
(Mi sjim370)
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This article is cited in 1 scientific paper (total in 1 paper)
A method for solving a three-dimensional transport equation
A. S. Yakimov, A. G. Kataev Tomsk State University
Abstract:
On the basis of methods of operational calculus, quasilinearization, and splitting by spatial coordinates, we find an approximate analytic solution of a boundary value problem for a three-dimensional nonlinear transport equation. We obtain conditions for the unique solvability of the boundary value problem and give an estimate for the rate of convergence of the iterative process. We present the result of test verifications.
Received: 16.05.2003 Revised: 10.09.2003
Citation:
A. S. Yakimov, A. G. Kataev, “A method for solving a three-dimensional transport equation”, Sib. Zh. Ind. Mat., 7:2 (2004), 148–161
Linking options:
https://www.mathnet.ru/eng/sjim370 https://www.mathnet.ru/eng/sjim/v7/i2/p148
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Abstract page: | 518 | Full-text PDF : | 208 | References: | 75 |
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