Ph.D. in Applied Mathematics | Senior Lecturer & Researcher
I am a researcher at the Department of Applied Mathematics and Computer Analysis, National University of Uzbekistan (NUUz). My work integrates theoretical analysis and numerical modelling of nonlinear physical processes, specialising in the mathematical foundations of second-order parabolic PDEs, self-similar solutions, and blow-up phenomena.
My primary research involves the qualitative and numerical study of nonlinear second-order parabolic PDEs, specifically:
- Double Nonlinear Equations: Investigating non-divergence form equations with variable density.
- Asymptotic Behaviour: Analysing self-similar solutions and blow-up phenomena in inhomogeneous media.
- Reaction-Diffusion Systems: Modeling biological populations and cross-diffusion systems.
- Numerical Methods: Developing robust solvers for deterministic physics-based models.
I bridge the gap between pure mathematics and computational implementation through several core courses:
- Mathematical Modelling: Deterministic models derived from physics-based processes.
- Scientific Programming: Specialized tracks in Python, C#, and MATLAB for mathematicians.
- Technical Communication: Instructing in LaTeX for academic typesetting and project structures.
- Languages: Python, C#, MATLAB.
- Frameworks/Tools: Git, SQL (DBMS), Numerical PDE Solvers, LaTeX.
- ORCID: 0000-0002-3326-4390
- Google Scholar: Bobokandov Makhmud
- Twitter/X: @makhmudbey
- Email: bmahmudbey@gmail.com
- Location: Tashkent, Uzbekistan
