Identifying an unknown time dependent coefficient for quasilinear parabolic equations

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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