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Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition
(Taylor & Francis Inc, 2020)
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 of Rothe difference scheme for the reverse parabolic problem with integral boundary condition
In this paper, we study the approximation of reverse parabolic problem with integral boundary condition. The Rothe difference scheme for an approximate solution of reverse problem is discussed. We establish stability and ...
THE SECOND ORDER OF ADS FOR REVERSE PARABOLIC BOUNDARY VALUE PROBLEM WITH INTEGRAL CONDITION
(Inst Mathematics & Mechanics, Natl Acad Sciences Azerbaijan, 2020)
Finite difference method to solve nonlocal reverse parabolic (RP) problem with integral condition are applied. The second order of accuracy difference scheme (ADS) for approximation of RP problem is proposed. Stability ...