On solution of a nonlocal problem with dynamic boundary conditions for a loaded linear parabolic equation by straight-line methods
Journal Title: Bulletin of Computational Applied Mathematics (Bull CompAMa) - Year 2017, Vol 5, Issue 1
Abstract
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.
Authors and Affiliations
Zakir Khankishiyev
Keywords
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