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

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

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 …