Inverse Problem of Finding the Coefficient of the Lowest Term in Two-Dimensional Heat Equation with Ionkin-Type Boundary Condition

We consider an inverse problem of determining the time-dependent lowest order coefficient of two-dimensional (2D) heat equation with Ionkin boundary and total energy integral overdetermination condition. The global well-posedness of the problem is obtained by generalized Fourier method combined with...

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Bibliographic Details
Published in:	Computational mathematics and mathematical physics Vol. 59; no. 5; pp. 791 - 808
Main Authors:	Ismailov, M. I., Erkovan, S.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.05.2019 Springer Nature B.V
Subjects:	Boundary conditions Computational Mathematics and Numerical Analysis Economic models Finite difference method Inverse problems Mathematical analysis Mathematics Mathematics and Statistics Numerical integration Thermodynamics Time dependence Volterra integral equations Well posed problems generalized Fourier method non-uniform finite difference method Ionkin-type boundary condition numerical integration 2D heat equation uniform finite difference method Volterra integral equation
ISSN:	0965-5425, 1555-6662
Online Access:	Get full text
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