About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition
Keywords:
boundary value problem, a nonlocal boundary value problem, a nonlocal condition, a third-order pseudo-parabolic equation, difference schemes, stability and convergence of difference schemes, a priori estimates, energy inequality method.Abstract
A nonlocal boundary value problem for a 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 obtained 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.
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Published
2021-05-25
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Section
Differential equations, dynamical systems and optimal control