Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions

This article considers an inverse problem of time fractional parabolic partial differential equations with the nonlocal boundary condition. Dirichlet-measured output data are used to distinguish the unknown coefficient. A finite difference scheme is constructed and a numerical approximation is made. Examples and numerical experiments, such as man-made noise, are provided to show the stability and efficiency of this numerical method.

Automated summary

This article discusses the inverse problem of time fractional parabolic partial differential equations with nonlocal boundary conditions. It uses Dirichlet-measured output data to identify the unknown coefficients and constructs a finite difference scheme for numerical approximation. Examples and numerical experiments, such as man-made noise, are provided to demonstrate the stability and efficiency of this numerical method.