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This article is cited in 19 scientific papers (total in 19 papers)
Difference method for solving a nonlocal boundary value problem for a degenerating third-order pseudo-parabolic equation with variable coefficients
M. Kh. Beshtokov Kabardino-Balkar State University, Nalchik, Russia
Abstract:
A nonlocal boundary value problem for a degenerating third-order pseudo-parabolic equation with variable coefficients is considered. For solving this problem, a priori estimates in the differential and difference forms are obtained. The a priori estimates imply the uniqueness and stability of the solution on a layer with respect to the initial data and the right-hand side and the convergence of the solution of the difference problem to the solution of the differential problem.
Key words:
pseudo-parabolic equation with degeneracy, boundary value problems, nonlocal condition, a priori estimate, difference scheme, stability and convergence of difference schemes, third-order pseudo-parabolic equation, pseudo-parabolic equation.
Received: 05.05.2015 Revised: 29.03.2016
Citation:
M. Kh. Beshtokov, “Difference method for solving a nonlocal boundary value problem for a degenerating third-order pseudo-parabolic equation with variable coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016), 1780–1794; Comput. Math. Math. Phys., 56:10 (2016), 1763–1777
Linking options:
https://www.mathnet.ru/eng/zvmmf10465 https://www.mathnet.ru/eng/zvmmf/v56/i10/p1780
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Abstract page: | 380 | Full-text PDF : | 88 | References: | 76 | First page: | 16 |
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