The coefficient inverse problem for the degenerate parabolic equation is investigated. minor of this polynomial first power with respect to space variable two unknown time-dependent functions. investigation carried out under given inhomogeneous initial condition, Dirichlet boundary conditions and integral overdetermination conditions. We establish unique solvability named case strong degenerati...

The determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. For solving these ill-posed inverse problems, Galerkin method based on Sinc basis functions for space and time will be used. To solve the system of linear equation, a noise is imposed and Tikhonove regularization is applied. By using a sensor located at a point in the domain of $x$, say $...

Based on the theoretical framework of Black–Scholes model, convergence inverse volatility problem based degenerate parabolic equation is studied. Being different from other problems in classical equations, we introduce some variable substitutions to convert original into an principal coefficient a bounded area, which unknown can be recovered and deficiencies caused by artificial truncation solv...