Public Lecture: Nonlinear Partial Differential Equations: Analytical and Numerical Approaches in the Simplest Model of Chemotaxis

Date: 26 February 2021
Online Public Lecture
February 26th, 2021, 5:00 PM (TJT, GMT+5)

UCA is holding an online Public Lecture on Friday, February 26th, 5:00 PM TJT (GMT+5) on “Nonlinear Partial Differential Equations: Analytical and Numerical Approaches in the Simplest Model of Chemotaxis”. The lecture will be streamed online in English Zoom.

Kholiknazar Kuchakshoev
Associate Professor, Math and Natural Sciences, UCA Khorog  

Abstract
Partial differential equations (PDE), especially nonlinear PDE have plenty of applications in real life. Mathematicians can prove the existence and uniqueness of solution of nonlinear PDE, but it is not easy to find the exact solution of nonlinear PDE. There are different numerical approaches to approximate the solution of Dirichlet, Neumann and other problems for nonlinear PDEs and there are also different approaches to find the analytical solutions of nonlinear PDEs. We will discuss the finite difference method for Dirichlet problem and some automodelling solutions (particular analytical solutions) of the simplest chemotaxis model. Namely, we analyze the finite difference schemes for Dirichlet problem in the one dimensional case and automodelling solutions in the n-dimensional case.

Biography
Kholiknazar Kuchakshoev’s research interest are fractional PDEs, numerical analysis of nonlinear PDEs and analytical solutions of nonlinear PDEs. Prior to joining UCA, he has taught Maths at the Russian-Tajik (Slavonic) University and Moscow State University affiliate in Dushanbe. Kuchakshoev also worked as a science researcher with the Institute of Mathematics in Dushanbe, Tajikistan. He holds a PhD in Mathematics from the Institute of Mathematics in Dushanbe, Tajikistan.

Moderator
Prof. Ramzan Ali, Math and Natural Sciences, UCA-Khorog  

Lecture Format
This lecture will be conducted online via Zoom video conferencing on Friday, February 26th, at 5:00 pm (Dushanbe time, GMT+5) at https://us02web.zoom.us/j/88298267615?pwd=cW12aVo4VGlrRVR3cXJ3SVE5cDQ1dz09 

Meeting ID: 882 9826 7615 
Passcode: 255957 

Language
The online lecture will be delivered in English.

Past online lectures are available on the University of Central Asia's YouTube channel at http://www.youtube.com/ucentralasia.

*Ideas presented in this lecture reflect the personal opinion of the speaker and do not necessarily represent the views of the University of Central Asia and/or its employees.
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