On solution of a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equation by straight-line methods (Q1653972)
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scientific article; zbMATH DE number 6914266
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solution of a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equation by straight-line methods |
scientific article; zbMATH DE number 6914266 |
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On solution of a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equation by straight-line methods (English)
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7 August 2018
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Summary: We consider a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equation. For this problem we prove the unique solvability in Sobolev's spaces and the maximum principle under some natural conditions. We suggest the numerical straight-lines method for the finding of the solution of the problem. The convergence of the straight-lines method to the exact solution is also proved.
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nonlocal problem
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loaded parabolic equation
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dynamic boundary condition
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straight lines method
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numerical solution
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maximum principle
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rate of convergence
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