Recovery of the non-stationary component of the right-hand side of the subdiffusion equation

Abstract

The paper proposes a non-iteration method for numerically solving the inverse problem of identifying the coefficient of the right-hand side of the time-dependent fractional diffusion equation. The redefinition condition for each t ∈ (0,T] is given: the value of the function at some internal point of the domain or the integral of the desired function in the domain. The results of the numerical implementation of the proposed method on test problems with exact solutions are presented.