Dr. Md. Nur Alam

@pust.ac.bd

Associate Professor, Faculty of Science, Department of Mathematics
Pabna University of Science and Technology



              

https://researchid.co/mnapust

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

RESEARCH INTERESTS

Computational mathematics; mathematical physics; nonlinear dynamics; Fractional Calculus; nonlinear Integral and Fractional PDEs; Computational Fluid Dynamics (CFD); Computer Graphics; Computer Aided Geometric Design

96

Scopus Publications

Scopus Publications


  • Extending spectral methods to solve time fractional-order Bloch equations using generalized Laguerre polynomials
    Danish Zaidi, Imran Talib, Muhammad Bilal Riaz, and Md. Nur Alam
    Elsevier BV



  • Unveiling optical soliton solutions and bifurcation analysis in the space–time fractional Fokas–Lenells equation via SSE approach
    Ahmed Refaie Ali, Md. Nur Alam, and Mst. Wahida Parven
    Springer Science and Business Media LLC
    AbstractThe space–time fractional Fokas–Lenells (STFFL) equation serves as a fundamental mathematical model employed in telecommunications and transmission technology, elucidating the intricate dynamics of nonlinear pulse propagation in optical fibers. This study employs the Sardar sub-equation (SSE) approach within the STFFL equation framework to explore uncharted territories, uncovering a myriad of optical soliton solutions (OSSs) and conducting a thorough analysis of their bifurcations. The discovered OSSs encompass a diverse array, including bright-dark, periodic, multiple bright-dark solitons, and various other types, forming a captivating spectrum. These solutions reveal an intricate interplay among bright-dark solitons, complex periodic sequences, rhythmic breathers, coexistence of multiple bright-dark solitons, alongside intriguing phenomena like kinks, anti-kinks, and dark-bell solitons. This exploration, built upon meticulous literature review, unveils previously undiscovered wave patterns within the dynamic framework of the STFFL equation, significantly expanding the theoretical understanding and paving the way for innovative applications. Utilizing 2D, contour, and 3D diagrams, we illustrate the influence of fractional and temporal parameters on these solutions. Furthermore, comprehensive 2D, 3D, contour, and bifurcation analysis diagrams scrutinize the nonlinear effects inherent in the STFFL equation. Employing a Hamiltonian function (HF) enables detailed phase-plane dynamics analysis, complemented by simulations conducted using Python and MAPLE software. The practical implications of the discovered OSS solutions extend to real-world physical events, underlining the efficacy and applicability of the SSE scheme in solving time–space nonlinear fractional differential equations (TSNLFDEs). Hence, it is crucial to acknowledge the SSE technique as a direct, efficient, and reliable numerical tool, illuminating precise outcomes in nonlinear comparisons.

  • Applications of nonlinear longitudinal wave equation with periodic optical solitons wave structure in magneto electro elastic circular rod
    Mujahid Iqbal, Md. Nur Alam, Dianchen Lu, Aly R. Seadawy, Nahaa E. Alsubaie, and Salisu Ibrahim
    Springer Science and Business Media LLC

  • Modulation instability and comparative observation of the effect of fractional parameters on new optical soliton solutions of the paraxial wave model
    Md. Mamunur Roshid, Md. Nur Alam, Onur Alp İlhan, Md. Abdur Rahim, Md. Mehedi Hassen Tuhin, and M. M. Rahman
    Springer Science and Business Media LLC
    AbstractThis work focuses on the study of the paraxial wave model with a space–time fractional form. This model has more importance for describing light propagation in nonlinear optical fibers and telecommunication lines. The main aim of this work is to observe the effect of the fractional parameters and compare the truncated $$M$$ M -fraction with the beta-fraction, conformable fraction form, and classical form of the PW model. For this observation, we applied the Simplest equation technique to acquire analytical solutions to the space–time (spatiotemporal) $$M$$ M -fractional paraxial wave model. We are able to acquire several new optical soliton solutions, including periodic waves, kink-type waves, rogue-type waves, and several novel periodic waves, by providing the appropriate fractional parametric values. These solutions have significance for shedding light on a number of physical phenomena in the realms of optical fiber and communication sciences. The diverse values of fractional parameters and the three-dimensional and contour plot graphs of certain chosen solutions are depicted, which are the most accurate physical characterizations of the outcomes. We also sketch the comparative graph of diverse fractional forms and the classical form of the paraxial wave equation in two-dimensional plots. Consequently, our findings represent an important breakthrough in this complex area and help further develop our comprehension of the behavior of solitons.

  • The application of cosine similarity measures with Laplacian energy to q-rung orthopair fuzzy graphs in decision-making problems
    Mohamed Atheeque A., Sharief Basha S., Nune Pratyusha, C. Raghavendra Reddy, Md Nur Alam, Hijaz Ahmad, Nainaru Tarakaramu, and Sreenivasulu K.
    AIP Publishing
    Q-rung orthopair fuzzy sets (q-ROFS), which are better than the intuitionistic and Pythagorean fuzzy sets, are a significant tool for expressing ambiguous information. Their key feature is that their ability to represent a larger space of uncertain information is based on the fact that the product of the qth power of the membership degree and the qth power of the degrees of non-membership is equal to or less than 1. Under these circumstances, we train group decision-making problems in the study using q-rung orthopair fuzzy inclination associations. Through the calculation of the standard deviation of one separable q-rung orthopair inclination association to the others and the unclear evidence of q-rung orthopair fuzzy inclination connections, we propose a novel approach to estimate the qualified reputation weights of authority. The “internal” and “impartial” evidence of authority is taken into consideration by this new mindset. Subsequently, we included the weights of authorities into the q-rung orthopair fuzzy inclination relations and used a relative similarity approach to determine the relevance of replacements and the best substitutes. The planned techniques' usefulness and realism are demonstrated by the contrast analysis with additional methods through mathematical demonstrations, both of which show the fuzzy set’s membership degree and non-membership degree, respectively.

  • Bifurcation, phase plane analysis and exact soliton solutions in the nonlinear Schrodinger equation with Atangana's conformable derivative
    Md. Nur Alam, Mujahid Iqbal, Mohammad Hassan, Md. Fayz-Al-Asad, Muhammad Sajjad Hossain, and Cemil Tunç
    Elsevier BV

  • Bifurcation analysis and new exact complex solutions for the nonlinear Schrödinger equations with cubic nonlinearity
    Md Nur Alam, Onur Alp İlhan, Hemel Sharker Akash, and Imran Talib
    Springer Science and Business Media LLC

  • Design of dual loop controller for boost converter based on PI controller
    Kifayat Ullah, Muhammad Ishaq, Muhammad Ajmal Naz, Mostafizur Rahaman, Arsalan Muhammad Soomar, Hijaz Ahmad, and Md. Nur Alam
    AIP Publishing
    Boost converters are widely used in industry for many applications, such as electrical vehicles, wind energy systems, and photovoltaic energy systems, to step up the low voltages. Using the topology structure of the DC–DC boost circuit, this paper studied and designed a dual loop control method based on proportional integral controllers for improving the converter efficiency. The inner loop and outer loop controls of the traditional boost circuit are adopted in MATLAB/Simulink software to make the output of the system more stable. The input voltage is set to 24 V DC, and the desired output voltage varies from 36 to 48 V. Through simulation verification, the influence of a 1 kW sudden load connection by using a switch at a nominal output voltage of 48 V DC is studied, and the results show that it reduces the transient output voltage dips during the sudden load connection. Simulation analysis verifies the design scheme of the system, reduces the fluctuation in output voltage and power, reduces the output current ripple, minimizes the dip in voltage to a minimum possible value, and improves the dynamic characteristics and overall efficiency of the converter.

  • B-spline curve theory: An overview and applications in real life
    Md. Shahid Hasan, Md. Nur Alam, Md. Fayz-Al-Asad, Noor Muhammad, and Cemil Tunç
    Walter de Gruyter GmbH
    Abstract This study commences by delving into B-spline curves, their essential properties, and their practical implementations in the real world. It also examines the role of knot vectors, control points, and de Boor’s algorithm in creating an elegant and seamless curve. Beginning with an overview of B-spline curve theory, we delve into the necessary properties that make these curves unique. We explore their local control, smoothness, and versatility, making them well-suited for a wide range of applications. Furthermore, we examine some basic applications of B-spline curves, from designing elegant automotive curves to animating lifelike characters in the entertainment industry, making a significant impact. Utilizing the de Boor algorithm, we intricately shape the contours of everyday essentials by applying a series of control points in combination with a B-spline curve. In addition, we offer valuable insights into the diverse applications of B-spline curves in computer graphics, toy design, the electronics industry, architecture, manufacturing, and various engineering sectors. We highlight their practical utility in manipulating the shape and behavior of the curve, serving as a bridge between theory and application.

  • EXACT SOLUTIONS OF NONLINEAR FRACTIONAL CAHN-ALLEN EQUATION ARIES IN DIFFERENT NONLINEAR PHYSICAL PHENOMENON USING UNIFIED TECHNIQUE
    NAJLA A. MOHAMMED, MD. NUR ALAM, IMRAN TALIB, DENNIS LING CHUAN CHING, TAGHREED A. ASSIRI, MOHAMMAD HASSAN, SULTAN ALSHEHERY, MD. FAYZ-AL-ASAD, A. F. ALJOHANI, SEHRA,et al.
    World Scientific Pub Co Pte Ltd
    The nonlinear fractional Cahn–Allen (NFCA) equation provides insight into phase modifications and pattern elaboration in natural structures, clarifying how various states of matter have changed throughout time. By using a unified technique, this study aims to present novel, precise solutions to the NFCA problem. This method has led to the discovery of a broad spectrum of soliton solutions, ranging from dark compactons and dark solitons to periodic kink behaviors, rough wave behaviors, and periodic patterns featuring peaked crests and troughs. It has also unveiled anti-kink periodic behaviors, periodic wave behaviors, bright-dark single solitons, periodic patterns displaying anti-peaked crests and anti-troughs, bright solitons, and compound soliton phenomena. Notably, these accomplishments have been made possible through the utilization of Maple software. These findings are important for fractional nonlinear dynamical models (FNLDMs). In order to clarify many dynamic behaviors that solutions of the NFCA equation display in other scientific fields, such as quantum mechanics, mathematical biology, and plasma physics, contour plots and 3D surface representations of these exact solutions are also featured. Through our investigation using the unified technique, we have unveiled a plethora of novel discoveries. Employing this method has revealed a total of 54 fresh findings. In contrast, Javeed et al. [S. Javeed, S. Saif and D. Baleanu, New exact solutions of fractional Cahn–Allen equation and fractional DSW system, Adv. Differential Equations 2018 (2018) 459] applied the first integral technique, resulting in only eight outcomes. Upon comparing their results with ours, our approach has yielded an additional four out of six innovative results. As far as we are aware, the application of our technique to the NFCA equation has not been previously documented. We anticipate that future research will expand this methodology to include other FNLDMs.



  • An Enhanced Hybrid Model Based on CNN and BiLSTM for Identifying Individuals via Handwriting Analysis
    Md. Abdur Rahim, Fahmid Al Farid, Abu Saleh Musa Miah, Arpa Kar Puza, Md. Nur Alam, Md. Najmul Hossain, Sarina Mansor, and Hezerul Abdul Karim
    Tech Science Press


  • Unified existence results for nonlinear fractional boundary value problems
    Imran Talib, Asmat Batool, Muhammad Bilal Riaz, and Md. Nur Alam
    American Institute of Mathematical Sciences (AIMS)
    <abstract><p>In this work, we focus on investigating the existence of solutions to nonlinear fractional boundary value problems (FBVPs) with generalized nonlinear boundary conditions. By extending the framework of the technique based on well-ordered coupled lower and upper solutions, we guarantee the existence of solutions in a sector defined by these solutions. One notable aspect of our study is that the proposed approach unifies the existence results for the problems that have previously been discussed separately in the literature. To substantiate these findings, we have added three illustrative examples.</p></abstract>

  • Heat generation/absorption effect on natural convective heat transfer in a wavy triangular cavity filled with nanofluid
    Tarikul Islam, Md. Nur Alam, Shafiullah Niazai, Ilyas Khan, Md. Fayz-Al-Asad, and Sultan Alqahtani
    Springer Science and Business Media LLC
    AbstractThis study is numerically executed to investigate the influence of heat generation or absorption on free convective flow and temperature transport within a wavy triangular enclosure filled by the nanofluid taking the Brownian effect of nanoparticles. The water (H2O) is employed as base fluid and copper (Cu) as nanoparticles for making effective Cu–H2O nanofluids. The perpendicular sinusoidally wavy wall is cooled at low temperature while the horizontal bottom sidewall is heated non-uniformly (sinusoidal). The inclined wall of the enclosure is insulated. The governing dimensionless non-linear PDEs are executed numerically with the help of the Galerkin weighted residual type finite element technique. The numerically simulated results are displayed through average Nusselt number, isothermal contours, and streamlines for the various model parameters such as Hartmann number, Rayleigh number, heat generation or absorption parameter, nanoparticles volume fraction, and undulation parameter. The outcomes illustrate that the temperature transport rate augments significantly for the enhancement of Rayleigh number as well as nanoparticles volume fraction whereas reduces for the increment of Hartman number. The heat transfer is significantly influenced by the size, shape, and Brownian motion of the nanoparticles. The rate of heat transport increases by 20.43% considering the Brownian effect for 1% nanoparticle volume. The thermal performance increases by 8.66% for the blade shape instead of the spherical shape of nanoparticles. In addition, heat transfer is impacted by the small size of nanoparticles. The thermal transport rate increases by 35.87% when the size of the nanoparticles reduces from 100 to 10 nm. Moreover, the rate of heat transmission increases efficiently as the undulation parameter rises. It is also seen that a crucial factor in the flow of nanofluids and heat transmission is the heat generation/absorption parameter that influences temperature distribution, heat transfer rates, and overall thermal performance.

  • Bifurcation Analysis and Solitary Wave Analysis of the Nonlinear Fractional Soliton Neuron Model
    Md. Nur Alam, Hemel Sharker Akash, Uzzal Saha, Md. Shahid Hasan, Mst. Wahida Parvin, and Cemil Tunç
    Springer Science and Business Media LLC


  • Influence of magnetic field on MHD mixed convection in lid-driven cavity with heated wavy bottom surface
    Mst. Umme Mahmuda Maya, Md. Nur Alam, and Ahmed Refaie Ali
    Springer Science and Business Media LLC
    AbstractThis study investigates the influence of a rectangular heat source on magnetohydrodynamic hybrid convection flow in a lid-driven cavity. The effects of various parameters, such as the heat source size, magnetic field strength, and heat absorption/generation, are analyzed. The results show that increasing the heat source size decreases the average Nusselt number along the heated wall. The average Nusselt number also decreases with higher magnetic field strength and heat generation, while it increases with heat absorption. The major finding is to apply an important technique the Galerkin weighted residual technique of the finite element (FE) method to solve the non-dimensional equations and the associated boundary conditions. The isotherms are used to show the temperature distribution in a domain. Streamline present the flow field in the enclosure. However, it is easy to realize the direction and intensity of the heat transfer particularly in convection problems which the path of heat flux is perpendicular and the isotherm due to convection effect. Thus, the purpose of this research is to study the results of mixed convection. The effects of location and height of the partitions are considered for the various Richardson numbers. Fluid flow field, thermal field and heat transfer are presented through the streamlines and isotherms, respectively. Results are substantiated relating to the published work.


  • The New Soliton Configurations of the 3D Fractional Model in Arising Shallow Water Waves
    Md. Nur Alam, Imran Talib, and Cemil Tunç
    Springer Science and Business Media LLC