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

الملخص EN

An inverse source problem in the modified Helmholtz equation is considered.

We give a Tikhonov-type 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.