Comilla University | Professor Dr. Md. Abdullah Al Mahbub

Professor Dr. Md. Abdullah Al Mahbub

Professor

Department of Mathematics, Comilla University
Cumilla-3506, Bangladesh

dipmahbub13@yahoo.com, dipmahbub13@cou.ac.bd

01727244330

Biography
Qualification
Publication
Research Interest
Course/s Teaching

Dr. Md. Abdullah Al Mahbub is working as an Professor in the Department of Mathematics, Comilla University. Dr. Mahbub is involved in mathematical modeling, generating novel algorithms, and finite element analysis aiming to understand fluid flow motion in various situarions. His research area covers Computational fluid dynamics, Numerical solution of partial differential equations (PDEs), Finite element methods, Finite difference methods, Large scale computations, Mathematical modeling of the surface and subsurface flows including Navier/Stokes-Darcy model, dual-porosity-Navier/Stokes model, triple-porosity-Navier/Stokes model, Closed and open-loop geothermal systems, Blood solute dynamics model, Magnetohydrodynamics (MHD), Mathematical Biology, and Dynamical systems.

Education Qualification
Job Experience

Department of Mathematics, Comilla University, Bangladesh Professor April 2025 - Present
Department of Mathematics, Comilla University, Bangladesh Associate Professor November 2020 - April 2025
Department of Mathematics, Comilla University, Bangladesh Assitant Professor March 2014 - November 2020
Department of Mathematics, Comilla University, Bangladesh Lecturer January 2011 - March 2011

29.	Mohammad Safi Ullah, Md. Ruhul Amin, Tarmizi Usman, and Md. Abdullah Al Mahbub, Soliton dynamics, overlapping phenomena, multistability, and chaotic nature of a nonlinear model in relativistic wave mechanics, Sci. Rep., 2026, https://doi.org/10.1038/s41598-026-51442-w
28.	Atrout Sabah, Md. Abdullah Al Mahbub and Haibiao Zheng, Efficient and long-time accurate second-order decoupled method for the blood solute dynamics model, Int. J. of Numer. Anal. Model., 23 (1) 2026, 24-62, https://doi.org/10.4208/ijnam2026-1002
27.	Md. Nazmul Haque, Nasrin Jahan Nasu, Md. Abdullah Al Mahbub and Muhammad Mohebujjaman, Two-grid Stabilized Lowest Equal-Order Finite Element Method for the Dual-Permeability-Stokes Fluid Flow Model, J. Sci. Comput., 102 (1) 2025, 1-45, https://doi.org/10.1007/s10915-024-02723-x
26.	Minting Zhao, Jiawei Gao, Md. Abdullah Al Mahbub and Dan Chen, An efficient Rotational Pressure-Correction Scheme for the coupling Navier-Stokes/Darcy Problem, Int. J. Numer, Anal. Model., 21(6) (2024), 850-878, https://doi.org/10.4208/ijnam2024-1034
25.	Shahid Hussain, Md. Abdullah Al Mahbub, Xinlong Feng,Fatheh Ali Rana,Fazal Haq and Arshad Hussain, Stabilization of interconnected models with Nitsche’s interface conditions using the two-grid approach: A finite element study, Phy. Fluids, 36 (083309) (2024), https://doi.org/10.1063/5.021765
24.	Muhammad Mohebujjaman, Julian Miranda, Md. Abdullah Al Mahbub and Mengying Xiao, An Efficient and Accurate Penalty-projection Eddy Viscosity Algorithm for Stochastic Magnetohydrodynamic Flow Problems, J. Sci. Comput., 101 (2) (2024), https://doi.org/10.1007/s10915-024-02633-y
23.	Yongshuai Wang, Zhenjiang Wang, Md. Abdullah Al Mahbub and Haibiao Zheng, Partitioned schemes for the blood solute dynamics model by the variational multiscale method, Appl. Numer. Math., 198(2024), 318-345, https://doi.org/10.1016/j.apnum.2024.01.006
22.	Atrout Sabah, Md. Abdullah Al Mahbub and Haibiao Zheng, Decoupled modified characteristics variational multiscale method for solving the blood solute dynamics model, Comput. Math. Simu., 211 (2023), 23-56, https://doi.org/10.1016/j.matcom.2023.03.035
21.	Binbin Du, Jianguo. Huang, Md. Abdullah Al Mahbub and Haibiao Zheng, Two-Level Arrow-Hurwicz methods for the steady incompressible magnetohydrodynamic equations, Numer. Methods Partial Differential Eqa., 39(4) (2023), 3332-3355, https://doi.org/10.1002/num.23010
20.	Md. Abdullah Al Mahbub, Li Shan and Haibiao Zheng, Uncoupling evolutionary groundwater-surface water flows: stabilized mixed methods in both porous media and fluid regions, Numer. Algo., 92 (2022), 1837-1874, https://doi.org/10.1007/s11075-022-01370-3
19.	Nasrin Jahan Nasu, Md. Abdullah Al Mahbub and Haibiao Zheng, A new coupled multiphysics model and partitioned time-stepping method for the triple-porosity-Stokes fluid flow model, J. Comput. Phys., 466 (2022) 111397, https://doi.org/10.1016/j.jcp.2022.111397
18.	Shahid Hussain, Md. Abdullah Al Mahbub and F. Shi, A stabilized finite element methods for the Stokes-Stokes interface problems, J. Math. Fluid Mach., 24 (63) (2022) 1-20, https://doi.org/10.1007/s00021-022-00694-3
17.	Jian Li, Xue Wang, Md. Abdullah Al Mahbub, Haibiao Zheng and Zhangxin Chen, Local and Parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system, J. Comput. App. Math., 412 (114326), 2022, https://doi.org/10.1016/j.cam.2022.114326
16.	Muhammad Mohebujjaman, Hongwei Wang, Leo G. Rebholz, Md. Abdullah Al Mahbub, An efficient algorithm for parameterized magnetohydrodynamic flow ensembles simulation, Comput. Math. Appl., 112 (2022) 167-180, https://doi.org/10.1016/j.camwa.2022.02.014
15.	Luling Cao, Yinnian He, Jian Li, Md. Abdullah Al Mahbub, Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model, App. Numer. Math, 166 (2021) 238-271, https://doi.org/10.1016/j.apnum.2021.04.012
14.	Nasrin Jahan Nasu, Md. Abdullah Al Mahbub, Shahid Hussain and Haibiao Zheng, Two-grid finite element method for the dual-permeability-Stokes fluid flow model, Numer. Algo., 88 (2021) 1703-1731, https://doi.org/10.1007/s11075-021-01091-z
13.	Md. Abdullah Al Mahbub, Xiaoming He,Nasrin Jahan Nasu, Changxin Qiu,Yifan Wang and Haibiao Zheng, A coupled multiphysics model and a decoupled stabilized finite element method for the closed-loop geothermal system, SIAM J. Sci. Comput., 42 (04) (2020) B951-B982, https://doi.org/10.1137/19M1293533
12.	Md. Abdullah Al Mahbub, Feng Shi, Nasrin Jahan Nasu, Yongshuai Wang, Haibiao Zheng, Mixed stabilized finite element method for the stationary Stokes-dual permeability fluid flow model, Comput. Methods App. Mech. Eng., 358 (2020) 112616, https://doi.org/10.1016/j.cma.2019.112616
11.	Nasrin Jahan Nasu, Md. Abdullah Al Mahbub, Shahid Hussain, Danping Yang and Haibiao Zheng, Partitioned time stepping schemes for the non-stationary dual-fracture-matrix fluid flow model, App. Math. Model., 79 (2020) 200-229, https://doi.org/10.1016/j.apm.2019.10.032
10.	Jian Li, Min Yao, Md. Abdullah Al Mahbub, Haibiao Zheng, The efficient rotational pressure-correction schemes for the coupling Stokes/Darcy problem, Comput. Math. Appl., 79 (2) (2020), 337-353, https://doi.org/10.1016/j.camwa.2019.06.033
09.	Yongshuai Wang, Md. Abdullah Al Mahbub, Haibiao Zheng, Characteristic stabilized finite element method for the non-stationary conduction-convection problems, Int. J. Numer. Methods Heat fluid flow, 30 (2) (2019) 625-658, https://doi.org/10.1108/HFF-04-2019-0318
08.	Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu and Haibiao Zheng, Coupled and decoupled stabilized mixed finite element methods for non-stationary dual-porosity-Stokes fluid flow model, Int. J. Numer. Methods Eng., 120 (6) (2019) 803-829, https://doi.org/10.1002/nme.6158
07.	Shahid Hussian, Afshan Batool, Md. Abdullah Al Mahbub, Nasrin Jahan Nasu and Jiaping Yu, SUPG approximation for the Oseen viscoelastic fluid flow with stabilized lowest–equal order mixed finite element method, Mathematics, 7 (2) (2019) 1-19, https://doi.org/10.3390/math7020128
06.	Md. Abdullah Al Mahbub, Shahid Hussian, Nasrin Jahan Nasu and Haibiao Zheng, Decoupled scheme for non-stationary viscoelastic fluid flow, Adv. Appl. Math. Mech., 10 (05) (2018) 1191-1226, https://doi.10.4208/aamm.OA-2017-0186
05.	Shahid Hussian, Md. Abdullah Al Mahbub, Nasrin Jahan Nasu and Haibiao Zheng, Stabilized lowest equal-order mixed finite element method for the Oseen viscoelastic fluid flow, Adv. Diffe. Equ., 461 (2018) 1-19, https://doi.org/10.1186/s13662-018-1916-0
04.	Jiaping Yu, Md. Abdullah Al Mahbub, Feng Shi and Haibiao Zheng, Stabilized finite element method for the stationary mixed Stokes-Darcy problem, Adv. Diffe. Equ., 346 (2018) 1-19, https://doi.org/10.1186/s13662-018-1809-2.
03.	Nasrin Jahan Nasu, Md. Abdullah Al Mahbub, Shahid Hussain and Haibiao Zheng, Two-level finite element approximation for Oseen viscoelastic fluid flow, Mathematics, 06 (05) (2018), 1-20, https://doi.org/10.3390/math6050071
02.	Md. Abdullah Al Mahbub, Nasrin Jahan Nasu, Shomi Aktar, Zillur Rahman, Soret-Dufour effects on the MHD flow and heat transfer of microrotation fluid over a nonlinear stretching plate in the presence of suction, App. Math., 04 (06) (2013) 864-875, https://doi.10.4236/am.2013.46119
01.	Md. Alamgir Kabir, Md. Abdullah Al Mahbub, Effects of thermophoresis on unsteady MHD free convective heat and mass transfer along an inclined porous plate with heat generation in presence of magnetic field, open J. Fluid. Dyn., 02 (04) (2012) 120-129, https://doi.10.4236/ojfd.2012.24012

Computational fluid dynamics, Numerical solutions of partial differential equations (PDEs), Finite element methods, Stabilized mixed finite element methods
Finite difference methods, Large scale computations, Mathematical modeling and numerical approximations of the surface and subsurface flows
Navier/Stokes-Darcy models, dual-porosity-Navier/Stokes models, triple-porosity-Navier/Stokes models, fractured porous medium
Natural Convection, FHD Models, Diffuse interface models, Closed and open-loop geothermal system, Blood solute dynamics model, Magnetohydrodynamics (MHD),
Mathematical modeling in Biology, and Dynamical systems

Program	Course	Session	Course Outline	Course Materials