Education

[ August 21, 2023 ] - [ continued ]

[ Kent State University ] 

[ Ph.D. in Applied Mathematics ]

I am pursuing my PhD in Applied Mathematics and working as a Teaching Assistant at Kent State University, Ohio, USA. 

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[ March 30, 2021 ] - [ December 21, 2022 ]

[ Comilla University ] 

[ M.Sc. in Mathematics ]

In my research-based M.Sc. degree, I studied Functional Analysis, Finite Element Analysis, Fluid Dynamics, Thermodynamics, Statistical Mechanics and so on. Among those courses, I found much interest in Finite Element Analysis as the lectures of this course were excellent and informative, which were conducted by Associate Professor Dr. Md. Abdullah Al Mahbub, who is currently working in this field extensively. For my M.Sc. degree, I wrote a thesis entitled “Two-grid Stabilized Lowest Equal-Order Finite Element Method for the Dual-Permeability-Stokes Fluid Flow Model” under his supervision. It provides an excellent opportunity to be introduced to the finite element methods field and gain a well-rounded experience in my long-term career goals.

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[ February 02, 2016 ] - [ March 29, 2021 ]

[ Comilla University ] 

[ B.Sc. in Mathematics ]

I obtained my B.Sc. degree in Mathematics from Comilla University, a well-known university in Bangladesh. During my undergraduate years, I was amazed to see the beauty of different fields of mathematics since numerous courses were included, such as Calculus, Differential Equations, Numerical Analysis, Linear Algebra, Real Analysis, Complex Analysis, Modern Algebra, Topology, Mathematical Modelling in Biology, and many more. From these years, I desire to specialize in Numerical Solutions of PDEs and Scientific Computing as it has a wide range of applications in practical life. I performed a research-based project entitled “A Study on Finite Difference Method for the Numerical Analysis of Heat Equation” in my B.Sc. program.

Relevant Work

Role: Teaching Assistant

[ August 17, 2023 ] - [ continued. ]

[ Department of Mathematical Sciences ] 

[ Kent State University ]

I am working as a Teaching Assistant at the Department of Mathematical Sciences at Kent State University.

Course Conduct as an Instructor:

1. Algebra for Calculus MATH 11010-002 (3 Credit Hours) (In-person Lecture), Spring-2024.

2. Algebra for Calculus Boost MATH 10675-019 (5 Credit Hours) (In-person Lecture), Fall-2024.

3. Trigonometry, MATH 11022-016 (3 Credit Hours) (In-person Lecture), Spring-2025.

Course Assist as a TA:

1. PRE-ALGEBRA (MATH-00020-105, MATH-00021-105, MATH-00022-105), Basic Algebra I, Basic Algebra II, and Basic Algebra III, Fall-2023.

2. MATH 11008, EXPLORATIONS IN MODERN MATHEMATICS, Fall-2024.

PROGRAMMING SKILLS

•    FreeFem++

•    MATLAB

•  R and R Studio

•    FORTRAN Programming

•    Mathematica and

•    Programming with C/C++

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DOCUMENTATION  SKILLS

•  LaTex

•    Microsoft Office Applications

•   R Markdown

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DATA PROCESSING SKILLS 

•  Tecplot

•   ParaView

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Research Experiences

[ May 20, 2021 ]- [ November 29, 2022]

[ MS Thesis ] 

Title: Two-grid Stabilized Lowest Equal-Order Finite Element Method for the Dual-Permeability-Stokes Fluid Flow Model.

Experiences:

In my research-based M.Sc. degree, I conducted a thesis titled, "Two-grid Stabilized Lowest Equal-Order Finite Element Method for the Dual-Permeability-Stokes Fluid Flow Model" under the supervision of Dr. Md. Abdullah Al Mahbub, an Associate Professor of Comilla University. In this work, we proposed a Two-grid Stabilization technique for analyzing the Dual-permeability-Stokes model and extensively studied the completed flow characteristics of naturally fractured reservoirs. Dual-permeability-Stokes model describes a coupled flow in a so-called porous media-conduit system, where the fluid flow is governed by the Stokes equations in the conduit domain and the fluid flow is controlled by the Darcy's equation in the porous medium domain. The weak formulation of the model is derived and the Well-posedness of the model is shown in this work. Also, we discussed the stability analysis with the Lax Milgram theorem and conducted several numerical experiments to validate the theoretical results and the applicability of the model. Finally, we found that our proposed algorithms are efficient and highly accurate.

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[ August 12, 2020 ]- [ February 26, 2021]

[ Honors Project ] 

Title: A Study on Finite Difference Method for the Numerical Analysis of Heat Equation.

Experiences:

I have performed a research-based project for my B.Sc. program entitled, "A Study on Finite Difference Method for the Numerical Analysis of Heat Equation". In this contribution, we developed Explicit and Crank-Nicolson schemes to derive the approximate solution of a one-dimensional Heat equation using the Finite Difference Method. We discussed the stability of the schemes using the Von-Neumann technique. Also, we solved a global problem using various techniques, listed the errors in the end, and made a comparison between the exact and the approximate solutions.