A Tikhonov-Type Regularization Method for Identifying the Unknown Source in the Modified Helmholtz Equation

摘要

An inverse source problem in the modified Helmholtz equation is considered. We give a Tikhonovtype regularization method and set up a theoretical frame to analyze the convergence of such method. A priori and a posteriori choice rules to find the regularization parameter are given. Numerical tests are presented to illustrate the effectiveness and stability of our proposed method.