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Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution
M. Kh. Beshtokov
Research Institute of Applied Mathematics and Automation, Kabardino-Balkar Research Center, Russian Academy of Sciences, Nalchik, Russia
Boundary value problems for loaded third-order pseudo-parabolic equations with variable coefficients are considered. A priori estimates for the solutions of the problems in the differential and difference formulations are obtained. These a priori estimates imply the uniqueness and stability of the solution with respect to the initial data and the right-hand side on a layer, as well as the convergence of the solution of each difference problem to the solution of the corresponding differential problem.
boundary value problems, a priori estimate, difference scheme, stability and convergence of difference schemes, third-order pseudo-parabolic equation.
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Computational Mathematics and Mathematical Physics, 2017, 57:12, 1973–1993
M. Kh. Beshtokov, “Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution”, Zh. Vychisl. Mat. Mat. Fiz., 57:12 (2017), 2021–2041; Comput. Math. Math. Phys., 57:12 (2017), 1973–1993
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\paper Differential and difference boundary value problem for loaded third-order pseudo-parabolic differential equations and difference methods for their numerical solution
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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