On solution of a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equation by straight-line methods
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...
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Format: | Article |
Language: | English |
Published: |
Universidad Simón Bolívar
2017-02-01
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Series: | Bulletin of Computational Applied Mathematics |
Subjects: | |
Online Access: | http://drive.google.com/open?id=0B5GyVVQ6O030bWlzWkZHdlBsT1k |
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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ISSN: | 2244-8659 2244-8659 |