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.
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