Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition
Charyyar AshyralyyevDepartment of Computer Technology, TAU, Ashgabat, TurkmenistanPınar AkkanDepartment of Mechatronics, Gumushane University, Gumushane, Turkey
2020en
ABI
Abstract
We study a source identification problem for a parabolic equation with multipoint nonlocal boundary condition. Stability estimates for the solution of abstract source identification problem are established. In application, stability estimates for the solution of the overdetermined mixed boundary value problem for multidimensional parabolic equation are obtained. The first and second order of accuracy difference schemes for the approximate solution of this problem are constructed. Stability estimates for solutions of these difference schemes are proved. Numerical illustration for a simple test problem is presented.
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