Geodesic
Numerical solution of the combined inverse problem for generalized Burgers equation
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 4, pp. 35-42 Cet article a éte moissonné depuis la source Math-Net.Ru

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We considered inverse problem for restoration of source and the boundary regime for generalized Burgers equation with additional nonlocal condition. This problem belongs to class of combined inverse problems. This problem can be transformed via integrating into inverse boundary problem with local conditions. We built a difference analogue of the differential problem in the form of an implicit difference scheme and non iterative computational algorithm for solution of obtained system of the difference equations. We conducted numerical experiments on the basis of the proposed method.
Keywords: generalized Burgers equation, combined inverse problem, restoration of source and the boundary regime, unlocal condition, difference problem. 
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Kh. M. Gamzaev. Numerical solution of the combined inverse problem for generalized Burgers equation. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 15 (2015) no. 4, pp. 35-42. http://geodesic.mathdoc.fr/item/VNGU_2015_15_4_a3/

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