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Generalized and numerical solution for a quasilinear parabolic equation with nonlocal conditions
(Univ Babes-Bolyai, 2015)
In this paper we study the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. We prove an existence uniqueness of the weak generalized solution and also continuous ...
Numerical solution and distinguishability in time fractional parabolic equation
(Springer International Publishing Ag, 2015)
This article deals with the mathematical analysis of the inverse problem of identifying the distinguishability of input-output mappings in the linear time fractional inhomogeneous parabolic equation D(t)(alpha)u(x t) = ...
An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition
In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution periodic boundary and integral overdetermination conditions is considered. Under some natural regularity ...