Filter regularization method for a time-fractional inverse advection–dispersion problem

Abstract

Abstract A filter regularization method is developed to solve a time-fractional inverse advection–dispersion problem, which is based on the modified ‘kernel’ idea. Proofs of convergence are given under both priori and posteriori regularization parameter choice rules. Numerical examples are presented to illustrate the effectiveness of the proposed algorithm.

Keywords

• Inverse problem
• Time-fractional advection–dispersion equation
• Filter regularization method
• A priori parameter choice
• A posteriori parameter choice