Institute of Mathematics and Mathematical Modeling

Well-posedness of difference schemes for elliptic NBVPs in holder spaces with weights

Nonlocal boundary value problems for elliptic equations arise in various mathematical models and applications, where classical local boundary conditions are insufficient to describe the underlying phenomena. Developing accurate and stable numerical methods for such problems is th...

A Spectral Projected Gradient Algorithm for an Elliptic Inverse Coefficient Problem with a Robin Boundary Condition

An inverse problem of recovering a lower-order coefficient in a second-order elliptic equation with a Robin boundary condition is considered. Uniqueness of the inverse problem solution is established. For the numerical solution of the inverse problem, a difference scheme is const...

Spectral Analysis of Differential Operators: Worked Solutions to Twenty-Five Problems

Study notes with fully worked solutions to twenty-five problems on the spectral analysis of differential and integral operators. The problems cover momentum operators and Laplacians with Dirichlet, Neumann, Robin and periodic boundary conditions; Schrödinger operators with delta,...

On the Inverse Problem for a Degenerate Parabolic Equation with the Hadamard–Caputo Derivative Under Samarskii–Ionkin Conditions

This paper investigates an inverse problem of recovering the spatial component of a source term for a degenerate ultraslow diffusion equation with a Hadamard–Caputo fractional derivative. Nonlocal boundary conditions of the Samarskii–Ionkin type are imposed. A distinctive feature...

Universal Boolean algebras, their ideals, and applications to semantic classes of models

We explore numbered Boolean algebras over classes Ξ of arithmetical and analytical hierarchies. We show the existence and uniqueness (up to computable isomorphism) of universal Boolean Ξ -algebras, determine the classes in which such algebras exist, and classify the universal alg...

A numerical study of non-Newtonian blood-based hybrid nanofluid flow over a stretching cylinder with Cattaneo–Christov heat flux and homogeneous heterogeneous reactions

Non-Newtonian hybrid nanofluids have attracted considerable attention in biomedical and industrial thermal systems because of their superior heat transfer performance and complex transport characteristics. In particular, blood-based hybrid nanofluids containing copper (Cu) and al...