In this paper, on the basis of the Carleman matrix, we explicitly construct a regularized
solution of the Cauchy problem for the matrix factorization of Helmholtz's equation in an …

In this paper, regularization combined with a preconditioning strategy is used to solve the
illconditioned linear system obtained from the approximation of the inverse Cauchy problem …

The objective of this paper is to solve numerically a Cauchy problem defined on a two-
dimensional domain occupied by a material satisfying the Helmholtz type equations and …

DA Juraev, AA Tagiyeva, JD Bulnes and GX-G. Yue Communicated by Vagif Ibrahimov
Abstract: In this paper, we consider the problem of recovering solutions of matrix …

1 Department of Scientific Research, Innovation and Training of Scientific and Pedagogical
Staff, University of Economics and Pedagogy, IA Karimov 13, 180100, Karshi, Uzbekistan. e …

This paper discusses the recovering of both Dirichlet and Neumann data on some part of the
domain boundary, starting from the knowledge of these data on another part of the boundary …

Fractal Fract | Free Full-Text | Solution of the Ill-Posed Cauchy Problem for Systems of Elliptic
Type of the First Order Next Article in Journal Chaos Suppression of a Fractional-Order …

This paper deals with an inverse problem governed by the Helmholtz equation. It consists in
recovering lackingdata on a part of the boundary based on the Cauchy data on the other …

In this paper, we develop a Haar wavelet-based reconstruction method to recover missing
data on an inaccessible part of the boundary from measured data on another accessible …

In this paper, the Carleman matrix is constructed, and based on it we found explicitly a
regularized solution of the Cauchy problem for the matrix factorization of the Helmholtz …