An Iterative Algorithm for Solving Inverse Problems of Two-Dimensional Diffusion Equations

Abstract

The applicability of the iterative numerical algorithm of the pulse-spectrum technique (PST) to solve inverse problems of two-dimensional linear diffusion equations is demonstrated. Numerical simulations are carried out to test the feasibility and to study the general characteristics of this technique without the real measurement data. It is found that PST also gives excellent results and is as robust as for solving the inverse problem of the one-dimensional linear diffusion equation.