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 …

The current analysis employs the improved F-expansion, modified extended tanh,
exponential rational function, and (g′)− expansion procedures to find a divergent collection …

Mathematical models for many theoretical and practical problems of natural sciences have
been described by the ODEs. Such processes are common in the investigation of physical …

Aiming at the existing two‐workshop integrated scheduling algorithm with the same
equipment resources, a unified vertical or horizontal scheduling rule is used to sort all …

In this paper, the problem of continuation of the solution of the ill-posed Cauchy problem for
matrix factorizations of the Helmholtz equation in a multidimensional bounded domain is …

The study delves into the persistent analysis and reliability assessment of the solution to the
Cauchy problem for the Helmholtz equation, within a defined area, using the known values …

There are various numerical methods for solving integral equations. Among the new
numerical methods, methods based on splines and spline wavelets should be noted. Local …

This study aims to provide an understanding of well-posed and incorrectly-posed problems,
as well as the developed methods for solving incorrectly-posed applied problems in …

Aiming at the existing flexible integrated scheduling algorithms that use unified rules to solve
the conflicts between processes and equipment, and ignore the vertical and horizontal …

One of the known methods for calculation of definite integrals is the Gauss quadrature
method. And one of the difficulties in the construction of the Gauss quadrature method is …