Since the whole function U is also unknown, the first inverse problem
consists in determination a pair of functions (f, U) that satisfies (2.3), (2.4) and (2.5).
allows us to treat the problem as an ill-posed inverse problem
and solve it by regularization techniques.
This problem is one kind of inverse problem
, also called final value problem or time inverse problem
This task can be interpreted as an inverse problem
, which is often examined with respect to ill- or well-posedness.
In the present paper, we study the inverse problem
of determining the source term in a degenerate heat equation perturbed by a singular potential from the theoretical analysis and numerical computation angles.
The main aim of this paper is to solve the inverse problem
for the boundary value problem (1.1), (1.2) by Weyl function on a finite interval.
In this paper, we implement the Bayesian statistical inversion theory to obtain a solution for an inverse problem
of growth data using a fractional population growth model, defined in Section 2.
Mathematically, CT image reconstruction often can be formulated as a linear inverse problem
. For the detected measurements data b, the objective is to find the targeted image u from the following equation:
CS is a very appealing tool for inverse problem
in electromagnetism, as confirmed by the large number of papers published on relevant journals (see e.g., [21, 25-32]).
Knowing such data and employing an inverse problem
approach, the estimation of the suspension stiffness and damping coefficient could be feasible.
As a branch of the inverse problem
of heat transfer, inverse geometrical problem  of heat conduction has a broad application prospect in industrial equipment testing, nondestructive testing , geometry optimization , biological lesions , and other fields.