Identifying an unknown time dependent coefficient for quasilinear parabolic equations

Year 2016, Volume: 4 Issue: 3, 116 - 128, 30.09.2016

Fatma Kanca İrem Baglan

Abstract

This article deals with the mathematical analysis of
the inverse problem of identifying the unknown time-dependent coefficient in
the quasilinear parabolic equation with the nonlocal boundary and integral
overdetermination conditions. The existence, uniqueness and continuously
dependence upon the data of the solution are proved by iteration method in
addition to the numerical solution of this problem is considered with an
example.

Keywords

Quasilinear parabolic equation, inverse problem, nonlocal boundary condition, finite difference method

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