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

Abstract

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.

Keywords

• fractional
• differential equation
• nonlocal
• boundary conditions
• inverse problem
• numerical method