Browsing by Author "935aa2d3-1aa7-40a4-a222-50aab6c8976b"
Now showing items 1-6 of 6
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An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition
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Publisher and Date:(Wiley-Blackwell, 2015)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 and consistency conditions on the input data the existence uniqueness and continuous dependence upon the data of the solution are shown. Some considerations on the numerical solution for this inverse problem are presented with an example. Copyright (c) 2014 John Wiley & Sons Ltd.
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An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions
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Publisher and Date:(Springer International Publishing Ag, 2014)In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary conditions is considered. Under some natural regularity and consistency conditions on the input data the existence uniqueness and continuous dependence upon the data of the solution are shown. Some considerations on the numerical solution for this inverse problem are presented with an example.
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Determination of an Unknown Heat Source from Integral Overdetermination Condition
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Publisher and Date:(Springer International Publishing, 2018)In this research we consider a coefficient problem of an inverse problem of a quasilinear parabolic equation with periodic boundary and integral over determination conditions. We prove the existence uniqueness and continuously dependence upon the data of the solution by iteration method. Also we consider numerical solution for this inverse problem using linearization and finite difference method is proved.
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Generalized and numerical solution for a quasilinear parabolic equation with nonlocal conditions
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Publisher and Date:(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 dependence upon the data of the solution are shown by using the generalized Fourier method. We construct an iteration algorithm for the numerical solution of this problem. We analyze computationally convergence of the iteration algorithm as well as on test example.
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Two-dimensional inverse quasilinear parabolic problem with periodic boundary condition
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Publisher and Date:(Taylor & Francis Ltd, 2019)In this study we consider a coefficient problem of a quasi-linear two-dimensional parabolic inverse problem with periodic boundary and integral over determination conditions. We prove the existence uniqueness and continuously dependence upon the data of the solution by iteration method. Also we consider numerical solution for this inverse problem by using linearization and the implicit finite-difference scheme.
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Weak generalized and numerical solution for a quasilinear pseudo-parabolic equation with nonlocal boundary condition
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Publisher and Date:(Springer International Publishing, 2014)This paper investigates the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. Under some natural regularity and consistency conditions on the input data the existence uniqueness convergence of the weak generalized solution and also continuous dependence upon the data of the solution are shown by using the generalized Fourier method. We construct an iteration algorithm for the numerical solution of this problem.
