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This article is cited in 3 scientific papers (total in 3 papers)
Application of generalized separation of variables to solving mixed problems with irregular boundary conditions
E. A. Gasymov, A. O. Guseinova, U. N. Gasanova Baku State University, ul. Khalilova 23, Baku, AZ 1148, Azerbaijan
Abstract:
One of the methods for solving mixed problems is the classical separation of variables (the Fourier method). If the boundary conditions of the mixed problem are irregular, this method, generally speaking, is not applicable. In the present paper, a generalized separation of variables and a way of application of this method to solving some mixed problems with irregular boundary conditions are proposed. Analytical representation of the solution to this irregular mixed problem is obtained.
Key words:
generalized separation of variables, irregular boundary conditions, functional series, mixed boundary value problems.
Received: 03.03.2015
Citation:
E. A. Gasymov, A. O. Guseinova, U. N. Gasanova, “Application of generalized separation of variables to solving mixed problems with irregular boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016), 1335–1339; Comput. Math. Math. Phys., 56:7 (2016), 1305–1309
Linking options:
https://www.mathnet.ru/eng/zvmmf10428 https://www.mathnet.ru/eng/zvmmf/v56/i7/p1335
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