Dr. Md Nur Alam was born in Panchagarh, Bangladesh on 01 March 1986. He completed his B. Sc. (Hons.) and M. Sc. (Thesis) in Mathematics from Rajshahi University, Rajshahi, Bangladesh, in 2008 and 2009, respectively. He was also awarded M. Phil Degree in Mathematics in the field of mathematical physics in 2015 from PUST. He successfully completed his Ph. D. in Computational Mathematics from the University of Science and Technology of China (USTC, China) under a very prestigious CAS-TWAS Scholarship. His Ph. D. thesis was mainly concerned with CAGD and Computer Graphics. In 2012, he joined in a Lecture of Mathematics, PUST. In 2014, he joined as an Assistant Professor of Mathematics, PUST. From 2020 to date, He is doing as an Associate Professor of Mathematics, PUST. His current research interests include fluid mechanics, computer graphics, CAGD, IGA, mathematical physics, integral and fractional order of PDEs. He has published more than 80 papers.
EDUCATION
Ph.D. in Computational Mathematics, Department of Mathematics, University of Science and Technology of China (USTC), China, 2020, (2016-2020). Thesis title: Non-Uniform Subdivision Surfaces via Eigen Polyhedron, Supervisor: Professor Dr. Xin Li
Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa–Holm equation Md. Nur Alam, Shams Forruque Ahmed, Hajar F. Ismael, Mitiku Daba Firdi, Irfan Anjum Badruddin, Syed Javed Scientific Reports, 2026 The modified Camassa–Holm (MCH) equation is a significant mathematical model for describing nonlinear wave phenomena, especially in shallow water dynamics and related physical systems. Although various analytical techniques have been applied to such nonlinear equations, many difficulties have arisen in producing a wide variety of exact and structurally rich solutions. This study addresses this gap by employing the modified (G′/G)-expansion (MG′/GE) method to construct an extensive range of exact traveling wave solutions for the MCH framework, such as trigonometric, hyperbolic, and rational solutions. Numerous waveforms, including single singular, double singular, multiple bright, multiple dark, multiple singular, and singular solitons, have been found to have solutions for the MCH framework. These waveforms have numerous applications in applied sciences and engineering. The structural properties and propagation dynamics of the resulting solutions are successfully depicted by graphics such as 3D, contour, density, 2D time-evolution, and 3D revolving plots. Compared to other existing approaches, such as the sine–cosine method and the tanh method, the MG’/GE approach is substantially more accurate and adaptable. The MG’/GE technique’s durability and computing efficiency allow it to generate precise findings straightforwardly. Its broad variety of applications in nonlinear system analysis is further highlighted by its expansion to fractional-order equations. In addition to laying the foundation for future research on traveling wave phenomena in many scientific domains, the current study presents an analytical scheme for both classical and fractional nonlinear evolution equations (NLEEs).
Closed-form wave solutions to the van der Waals model arising in nature and the longitudinal wave motion equation in a magneto-electro-elastic circular rod Fengxia Wu, Md Nur Alam, Haci Mehmet Baskonus, Hadi Rezazadeh International Journal of Geometric Methods in Modern Physics, 2026 Closed-form wave solutions of nonlinear evolution equations perform a crucial task to show the intrinsic device of complex physical phenomena. In this study, we acquire new closed-form wave solutions to the van der Waals standard form for the fluidized granular matter, which is one of the famous equations in industrial and nature and the Longitudinal Wave Motion Equation in a Magneto-electro-elastic (MEE) Circular Rod through the variation of [Formula: see text]-expansion method. In this regard, the first equation is one of the famous equations in industrial and nature. Understanding of static and dynamic property for the model is critical in numerous perspectives of geophysics, industrial applications, pharmaceutical, civil engineering, as well as the model illustrates the phase separation phenomenon. Therefore, this model is physically meaningful in their own right. By utilizing our new rule, we get not only new exact traveling wave answers but also exact no-traveling wave answers in the expressed of hyperbolic functions. And the second equation that arises in applied mathematics, physical sciences and mathematical physics with dispersion affected over the transverse Poisson’s impact in a broad magneto-electro-elastic circular rod in which a set of closed-form wave solutions concerning the considered equation is presented. To interpret the physical aspect of the obtained solutions, we show the [Formula: see text] and [Formula: see text]-dimensional surfaces and the corresponding contour plot surfaces of the closed-form wave solutions by using Maple. Additionally, it has been discovered that the considered methods contribute a further substantial mathematical mechanism for finding exact solutions to nonlinear PDEs. Furthermore, this technique is proficient of significantly decreasing the size of computational work compared to other existing methods.
Ternary hybrid-nanofluid magneto-convective flow inside the octagonal enclosure with an inner circular obstacle contribution to entropy generation Nur Jahangir Moon, Bijan Krishna Saha, Jahidul Islam Jihan, Goutam Saha, Md.Nur Alam, Suvash.C. Saha International Journal of Thermofluids, 2025 Natural convection (NC) plays a pivotal role in convective heat transfer (HT) and has been extensively studied. This research focuses on examining the impact of different parameters on HT and fluid flow behavior of a ternary hybrid nanofluid (Al 2 O 3 -Fe 3 O 4 -Cu-H 2 O) under the influence of a magnetic field within an octagonal enclosure containing a circular obstacle. This work investigates HT features of a buoyancy-driven NC flow that is laminar, steady and incompressible. The study also takes into account the entropy generation (E gen ) and the Bejan number (Be) in an octagonal enclosure with an inner circular obstacle for varying boundary conditions. The finite element method is used to numerically solve the governing equations and the associated boundary conditions. A variety of parameter values are employed in this study such as 0% ≤ nanoparticles volume fraction (φ) ≤ 5%, 10 3 ≤ Rayleigh number (Ra) ≤ 10 6 , 0 ≤ Hartmann number (Ha) ≤ 60. The present analysis highlights that the rate of HT and E gen can be improved by adding ternary hybrid nanoparticles within the cavity by 42.9% and 14.89% respectively. However, the average E gen becomes higher for increasing Ra and decreasing Ha at φ a = φ b = φ c = 5%. Moreover, larger nanoparticle volumes result in improved thermal performance, especially when Ra is higher. The ternary hybrid nanofluids for this architecture has the potential to improve thermal management systems by efficiently reducing external heat loss.
Impacts of nanoparticle shape and periodic heating on entropy generation inside a tilted nanofluid filled rectangular cavity Md.Aslam Hossain, Md.Rafiqul Islam, Md.Nur Alam, Md. Sagib, M.A.H. Sajib, Chinmayee Podder, Bijan Krishna Saha, Md.Jakir Hossen International Journal of Thermofluids, 2025 This paper deals with the utilization of TiO 2 -water nanofluid to investigate the MHD free convection (FC) flow and entropy generation inside a tilted rectangular cavity in the presence of uniform magnetic field. The bottom and the left vertical walls of the cavity are heated periodically, but the right vertical one is kept cool with a comparatively low temperature. The upper wall is a superb insulator. The walls are in no slip boundary condition. The novelty of this work lies in the fact that, to date, no study has been addressed entropy generation optimization in cavities considering the both effects of inclination and periodic heating, as far as the author know. An analysis is conducted on the optimization of local entropy (LE) that results from the combination of HT and fluid movement throughout FC. The study of temperature distributions in terms of isothermal contours (IC), fluid flow patterns in terms of stream functions (SF) and HT rate in terms of Nu are presented in this investigation. The simulation is carried out for 10 3 ≤ Ra ≤ 10 6 , 0 ≤ φ ≤ 0.04, 30 0 ≤ ω ≤ 90 0 , 0 ≤ Ha ≤ 80 and 0.2 ≤ AR ≤ 0.8. The continuity, momentum and energy equations are solved with the help of finite element Galerkin method after transforming them into non-dimensional form using some non-dimensional variables. The findings reveal that heat transfer and entropy generation in nanofluid-filled tilted cavities are strongly influenced by thermal, magnetic, particulate, and geometric parameters. High Ra and lamina-shaped nanoparticles enhance convection and heat transport, though at the expense of increased irreversibility, while moderate Ha and low-to-moderate particle concentrations (φ ≈ 0.02) provide an optimal balance of efficiency. Geometric optimization, particularly an inclination angle of ω ≈ 60° and aspect ratio AR ≈ 0.4, minimizes entropy generation while maintaining effective circulation. These findings are significant as they establish optimal parameter ranges that enhance heat transfer while maintaining energy efficiency, providing practical design strategies for thermal management. Such insights are highly relevant to applications like electronic cooling, solar collectors, energy storage, and magneto-hydrodynamic systems, where balancing performance with reduced entropy generation is essential for reliable operation.
Investigating traveling wave structures in the van der Waals normal form for fluidized granular matter through the modified S-expansion method Hamida Parvin, Md. Nur Alam, Md. Abdullah Bin Masud, Md. Jakir Hossen Partial Differential Equations in Applied Mathematics, 2025 This research discovers traveling wave solutions (TWSs) of the van der Waals normal form for fluidized granular matter using the modified S-expansion (MS-E) method. The model captures key behaviors such as phase transitions, clustering, and shock structures in granular flows. Applying a traveling wave transformation reduces the governing equation to a nonlinear ordinary differential equation (NODE), enabling the construction of TWSs relevant to geophysical and industrial applications. The MS-E technique is implemented to systematically derive TWSs—such as kink, bright, and dark solitons—that model density waves, shock fronts, and clustering in granular media. Comprehensive 2D, 3D, and contour plots are presented to validate and visualize the results, offering insights into wave behavior and soliton stability. This work highlights the MS-E method as a powerful tool for solving nonlinear integral and fractional partial differential equations (NLIFPDEs), with broad applications in granular physics, fluid mechanics, plasma waves, and nonlinear optics. This experiment offers a novel procedure to explore additional compound nonlinear wave phenomena by integrating the MS-E method, opening novel opportunities for additional expansions in soliton-driven knowledge. This method offers a promising pathway for future researchers to explore closed-form traveling wave solutions of other NLIFPDEs.
MHD convective thermal performance in a nanofluid-filled wavy enclosure: An artificial neural network model Md. Shamim Hasan, Md. Nur Alam, M.M.A. Sarker International Journal of Thermofluids, 2025 The present study intends to observe the effects of natural convection on fluid flow and thermal performance in an undulating enclosure subjected to a nanofluid, addressing the critical need for enhanced heat transfer mechanisms in engineering applications. This study might optimize thermal management systems, especially in heat-dissipating sectors. The Galerkin type's numerical scheme finite element technique has resolved the non-dimensional governing non-linear equations. The neural network approach is applied to investigate steady two-dimensional free convection flows inside a wavy enclosure. The model's performance is assessed using statistical metrics, the determination coefficient (R²), and mean squared error (MSE). The simulation results will be shown graphically as streamlines, isotherms, undulation effectiveness, and mean Nusselt numbers. The effect of substantial parameters such as the Rayleigh number (10 3 ≤ Ra ≤ 10 6 10 3 ≤ Ra ≤ 10 6 ), Hartmann number (0 ≤ Ha ≤ 100), undulation number (0 ≤ λ ≤ 3) and the nanoparticle volume fraction (0.02 ≤ φ ≤ 0.05)on heat transmission and fluid flow will be examined at constant Prandtl number 6.83. The results reveal that increasing the Rayleigh number enhances heat transfer rates significantly, with the mean Nusselt number showing an increase of up to 35 % as Ra rises from 10 3 to 10 6 . Additionally, the study finds that higher nanoparticle volume fractions lead to improved thermal performance, with a notable increase in heat transfer efficiency. Conversely, the Hartmann number's increase reduces heat transfer rates, highlighting the complex interplay between these parameters. This research indicates a correlation between the actual and predicted Nusselt values, indicating the accuracy and solidity of the model under various circumstances. This innovative Fe 3 O 4 nanoparticles and MHD study of undulating geometries provide vital insights for improving thermal systems in complicated schemes. The results of the current investigation and the previously published work show an excellent level of consistency.
Investigation of new solitary stochastic structures to the Heisenberg ferromagnetic spin chain model via a Stratonovich sense Md. Nur Alam Partial Differential Equations in Applied Mathematics, 2025 This study examines how Stratonovich integrals (SIs) affect the solutions of the Heisenberg ferromagnetic spin chain (HFSC) equation using the modified (G'/G)-expansion (MG'/GE) scheme. By using arbitrary parameters, it formulates traveling wave solutions in rational, trigonometric, and hyperbolic forms. These solutions are vital for elucidating complex phenomena in plasma physics, optical fibers, quantum mechanics, superfluids, and other fields. The research employs both Itô and Stratonovich stochastic calculus (SSC) to assess the dynamic behavior of these random solutions, providing graphical representations to effectively demonstrate these behaviors. The results offer significant insights into understanding and modeling intricate behaviors across various scientific and engineering fields, showcasing the versatility and applicability of the MG'/GE scheme for addressing complex nonlinear evolution equations (NLEEs) influenced by stochastic processes. The dynamic properties and features of these solutions are extensively examined through 3-dimensional, 2-dimensional and contour plots. These graphical representations illustrate a variety of forms, such as periodic solitons, multiple solitons, singular solitons, bright-dark solitons and solitary waves. Furthermore, we relate our mathematical findings to real-world phenomena, enhancing the depth and significance of our research. This analysis centers on how phase shifts depend on various parameters and compares these shifts with those found in exact soliton solutions. With the help of Maple, a robust computer algebra system, we generate generalized solitons and examine their dynamic behavior by exploring parameter values and their interrelations. Solitons, as localized wave phenomena, play a significant role in many areas of nonlinear science, such as quantum mechanics, plasma physics, fluid dynamics, water engineering, and optical fiber technology.
Application of new generalized (G1=G)-Expansion method to the (3 + 1)-Dimensional kadomtsev-Petviashvili equation Italian Journal of Pure and Applied Mathematics, 2016
Phospholemman: A Brief Overview Sajal Chakraborti, Kuntal Dey, Md Nur Alam, Amritlal Mandal, Jaganmay Sarkar, et al. Advances in Biochemistry in Health and Disease, 2016
Na+/K+-ATPase: A Perspective Sajal Chakraborti, Sayed Modinur Rahaman, Md Nur Alam, Amritlal Mandal, Biswarup Ghosh, et al. Advances in Biochemistry in Health and Disease, 2016
Traveling wave solutions for fifth order (1+1)-dimensional Kaup-Kupershmidt equation with the help of Exp(−φη)-expansion method Walailak Journal of Science and Technology, 2015
Applications of the novel (G'/G) expansion method to find new exact traveling wave solutions of the nonlinear coupled Higgs field equation Nonlinear Studies, 2015
Vascular aneurysms: A perspective Indian Journal of Biochemistry and Biophysics, 2014
Implications of calpains in health and diseases Indian Journal of Biochemistry and Biophysics, 2012
Role of protein kinase C-α in leukotriene D 4 - mediated stimulation of cytosolic phospholipase A 2 in pulmonary smooth muscle cells Iioab Journal, 2011