Browsing by Subject "Integral overdetermination condition"
Now showing items 1-4 of 4
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An Inverse Boundary Value Problem for a Second Order Elliptic Equation in a Rectangle
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Publisher and Date:(Vilnius Gediminas Tech Univ, 2014)In this paper the inverse problem of finding a coefficient in a second order elliptic equation is investigated. The conditions for the existence and uniqueness of the classical solution of the problem under consideration are established. Numerical tests using the finite-difference scheme combined with an iteration method is presented and the sensitivity of this scheme with respect to noisy overdetermination data is illustrated.
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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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Determination of a diffusion coefficient in a quasilinear parabolic equation
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Publisher and Date:(De Gruyter Open Ltd, 2017)This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence uniqueness and continuously dependence upon the data of the solution are shown. Finally some numerical experiments are presented.
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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.
