Finite-difference method for a nonlocal boundary value problem for a third-order pseudoparabolic equation

被引：0
|
作者：
M. Kh. Beshtokov
机构：
[1] Kabardino-Balkar State University,
来源：
Differential Equations | 2013年 / 49卷
关键词：
Nonlocal Boundary; Energy Inequality; Riemann Function; Nonlocal Condition; Nonlocal Problem;
D O I：
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中图分类号：
学科分类号：
摘要：
We consider a nonlocal boundary value problem for a third-order pseudoparabolic equation with variable coefficients. For its solution, in the differential and finite-difference settings, we derive a priori estimates that imply the 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 the difference problem to that of the differential problem.
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页码：1134 / 1141
页数：7
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