Makhmud Abdysametovich Sadybekov

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...

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...