Based On RrNIT Method To Solve The Inverse Space-dependent Source Problem Equation For A Time-fractional Diffusion Wave

In this thesis,a new iterative regularization method,called range-relaxed nonstationary iterative Tikhonov method,is used to study the identification of spacedependent source term for a time fractional diffusion wave equation.Firstly,we discuss the ill-posedness,uniqueness and non-uniqueness of the problem to identify space-dependent source term for the time fractional diffusion wave equation.Secondly,we will introduce range-relaxed non-stationary iterative Tikhonov method.Finally,we will give the numerical methods of direct problem and inverse problem.Numerical experiments are given to illustrate the effectiveness of the algorithm.