Geodesic
A~method for solving a~three-dimensional transport equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 2, pp. 148-161

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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. 
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     author = {A. S. Yakimov and A. G. Kataev},
     title = {A~method for solving a~three-dimensional transport equation},
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A. S. Yakimov; A. G. Kataev. A~method for solving a~three-dimensional transport equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 2, pp. 148-161. http://geodesic.mathdoc.fr/item/SJIM_2004_7_2_a13/