The diffusion process from some internal source arising in engineering situations can be
mathematically described by a parabolic system. We consider an inverse source problem for …

Based on the finite difference method and the artificial bee colony algorithm, the thermal
conductivity in the two-dimensional unsteady-state heat transfer system is deduced. An …

In this paper, we consider the initial-boundary value problem of determining the stationary
right-hand side function in the anomalous diffusion equation with a Caputo fractional …

In this contribution, we investigate an inverse source problem for a fractional diffusion and
wave equation with the Caputo fractional derivative of the space-dependent variable order …

In this paper, an inverse source problem for the Helium Production–Diffusion Equation on a
columnar symmetric domain is investigated. Based on an a priori assumption, the optimal …

In this contribution, an inverse problem of determining a space-dependent vector source in a
thermoelastic system of type-I, type-II and type-III is studied using information from a …

In this paper, we propose a data-driven model reduction method to solve parabolic inverse
source problems with uncertain data efficiently. Our method consists of offline and online …

Consider an inverse problem of simultaneous reconstruction of boundary impedance
coefficient and space-dependent source term from the final measurement data for a slow …

This paper is devoted to the theory of approximation of coefficient inverse problems for
differential equations of parabolic, elliptic, and hyperbolic types in functional spaces. We …

An adjoint problem approach with subsequent conjugate gradient algorithm (CGA) for a
class of problems of identification of an unknown spacewise dependent source in a variable …