Two-dimensional inverse quasilinear parabolic problem with periodic boundary condition

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Date

2019

Authors

Baglan, İrem Sakınç
Kanca, Fatma

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Publisher

Taylor & Francis Ltd

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Abstract

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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Keywords

Finite-difference method, Inverse problem, Parabolic equation, Periodic boundary conditions

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Citation

7

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Q2

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Q2

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Volume

98

Issue

8

Start Page

1549

End Page

1565