Profile of Dr. Md. Shafiqul Islam

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Dr. Md. Shafiqul Islam

(Professor)

Department of Applied Mathematics

Short Biography:
Dr Md. Shafiqul Islam is a Professor in the Department of Applied Mathematics at the University of Dhaka, Bangladesh, with over 25 years of teaching and research experience since 2002. He earned his PhD in Mathematics from Bangalore University, India (2002), building on a strong academic foundation from his M.Sc. ...
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Degree Name Group/Major Subject Board/Institute Country Passing Year
Ph.D. Mathematics Bangalore University India 2002
Masters Mathematics (Thesis) University of Dhaka Bangladesh 1989
Bachelor Mathematics University of Dhaka Bangladesh 1988
Title Organization Location From Date To Date
Chairman Department of Applied Mathematics, University of Dhaka Dhaka 02, Jul 2017 01-07-2020
Visiting Staff Fellow Under Erasmus+ Department of Mathematics, Middle East Technical University (METU) Ankara, Turkey 28, May 2017 04-06-2017
Professor Department of Applied Mathematics, University of Dhaka Dhaka 01, Jul 2014 Currently Working
Professor Department of Mathematics, University of Dhaka Dhaka 18, Feb 2010 30-06-2014
Visitig Staff Fellow under Erasmus Department of Mathematics, University Nice Sophia-Antipolis (UNS) Nice, France 21, Jan 2010 17-02-2010
Visiting Staff Fellow under Erasmus (math.unice.fr/EMMA) Department of Mathematics, University Nice Sophia-Antipolis Nice, France 01, Sep 2009 30-09-2009
Assistant and Associate Professor Department of Mathematics, University of Dhaka Dhaka 08, Oct 2002 17-02-2010
Lecturer and Assistant Professor Department of Mathematics, Shahjalal University of Science and Technology Sylhet 19, Mar 1994 07-10-2002

Research Interest

Subject Description Research Interest (Goal, Target Indicator)
Numerical Analysis

Linear and Nonlinear ODE, BVP, Partial Differential Equations, Fractional Differential Equations, System of Equations; Financial Mathematics; Integral Equations; Finite Element Method, Finite Difference Method, and Finite Volume Method; 2D and 3D Numerical and Analytical Integrations

Project/Research Supervision

Level of Study Title Supervisor Co-Supervisor(s) Name of Student(s) Area of Research Current Completion
Ph.D. Numerical Solutions of Fractional Order Boundary Value Problems by Weighted Approximation Method Prof. Md. Shafiqul Islam Umme Ruman

Fractional Boundary Value Problems

 2026
Ph.D. Studies on Eigenvalue Analysis for a Class of Differential Equations by the Methods of Weighted Residuals. Prof. Md. Shafiqul Islam Prof. Samir Kumar Bhowmik Humaira Farzana

Numerical Analysis

 2019
Ph.D. Numerical Solutions of Higher Order Boundary Value Problems Using Piecewise Polynomial Bases. Prof. Md. Shafiqul Islam Bellal Hossain

Numerical Analysis

 2014

Project/Research Work

Subject Project Name Source of Fund From Date To Date Collaboration
Physical, Biological and Earth Sciences Strategies for effective undergraduate and graduate programs in Applied Mathematics, University of Dhaka, WINDOW 1 Ministry of Education in Bangladesh,UGC-HEQEP-World Bank 01-04-2017 31-12-2018 Member of Project Committee
Higher Eduaction From Asia to Europe Erasmus Mundus Mobility with Asia (EMMA) European Commission 01-01-2009 30-12-2016 Local Coordinator and Contact Person of Dhaka University

Invited Talk

SL Invited Talk
No invited talk is found
SL Collaboration & Membership Name Type Membership Year Expire Year
1 Bangladesh Mathematical Society (www.bdmathsociety.org) President, Executive Council 2026
2 Dhaka University Alumni Association Individual 2005 Life Time
3 Higher Eduaction From Asia to Europe: Erasmus Mundus Mobility with Asia (EMMA), Funded by European Commission Local Coordinator and Contact Person of Dhaka University 2009 2016
4 Bangladesh Mathematical Society (www.bdmathsociety.org) Secretary 2010 (Jan) 2011 (Dec)
5 American Mathematical Society Individual 2009 2026
6 Society for Industrial and Applied Mathematics Individual 2009 2026
Journal Article
1
Md Shafiqul Islam, Nafia Mollok and Md. Kamrujjaman : Solutions of Nonlinear Parabolic PDEs: A Novel Technique Based on Galerkin-Finite Difference Residual Corrections, International Journal of Differential Equations , vol.2025 Wiley , pp.Article ID 4761380, 15 pages , 2025 .
doi: https://doi.org/10.1155/ijde/4761380
2
Md Shafiqul Islam, Hasan, M and Kamrujjaman, M : Galerkin-compact finite difference residual corrections for nonlinear second order wave equations, Discover Applied Sciences , vol.7 , no.8 Springer Nature Link , pp.897: 1-22 , 2025 .
doi: https://doi.org/10.1007/s42452-025-07453-9
3
Md. Shorif Hossan, Trishna Datta and Md. Shafiqul Islam : Combining approach of collocation and finite difference methods for fractional parabolic PDEs, Partial Differential Equations in Applied Mathematics Volume 12, December 2024, 100921 , vol.12 , no.December journal homepage: www.elsevier.com/locate/padiff, ScienceDirect , pp.100921 , 2024 .
doi: https://doi.org/10.1016/j.padiff.2024.100921
4
Md. Shorif Hossan, Trishna Datta and Md. Shafiqul Islam : Galerkin-finite difference method for fractional parabolic partial differential equations, MethodsX , (impact factor:1.9) , vol.12 (2024) Elsevier, ScienceDirect , pp.102763 , 2024 .
doi: https://doi.org/10.1016/j.mex.2024.102763
5
Umme Ruman and Md. Shafiqul Islam : Approximation of Some Nonlinear Fractional Order BVPs by Weighted Residual Methods, American Journal of Computational and Applied Mathematics , vol.14 , no.1 arXiv:2404.15090 , pp.15-23 , 2024 .
doi: http://DOI: 10.5923/j.ajcam.20241401.
6
H Ali, NG Trisha and Md. Shafiqul Islam : Galerkin-Bernstein Approximations of the System of Time Dependent Nonlinear Parabolic PDEs, General Letters in Mathematics , vol.13 , no.3 , pp.88-101 , 2023 .
doi: https://doi.org/10.31559/glm2023.13.3.3
7
SSD Pranta and Md. Shafiqul Islam : Numerical Approximations of a Class of Nonlinear Second-Order Boundary Value Problems using Galerkin-Compact Finite Difference Method, EJ-MATH, European Journal of Mathematics and Statistics , vol.4 , no.4 , pp.56-68 , 2023 .
doi: http://ttp://dx.doi.org/10.24018/ejmath.2023.4.4.235
8
NG Trisha and Md. Shafiqul Islam : Approximations of Time-Dependent Nonlinear Partial Differential Equations using Galerkin Optimal Auxiliary Function Method, GANIT: Journal of Bangladesh Mathematical Society , vol.43 , no.1 , pp.1-16 , 2023 .
9
SA Lima, Md Shafiqul Islam, H Ali and M Kamrujjaman : Numerical method to solve generalized nonlinear system of second order boundary value problems: Galerkin approach, Advances in the Theory of Nonlinear Analysis and its Application , vol.7 , no.2 , pp.280-291 , 2023 .
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10
H Farzana, SK Bhowmik and Md Shafiqul Islam : Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems, MethodsX, 102006 , 2023 .
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11
SSD Pranta, H Ali, Md Shafiqul Islam and MS Islam : On the Numerical Treatment of 2D Nonlinear Parabolic PDEs by the Galerkin Method with Bivariate Bernstein Polynomial Bases, Journal of Applied Mathematics and Computation 6 (4), 410-422 , vol.6 , no.4 , pp.410-422 , 2022 .
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12
MS Hossan, Md. Shafiqul Islam and Md. Kamrujjaman : Efficient Numerical Schemes for Computations of European Options with Transaction Costs, European Journal of Mathematical Analysis , vol.2 , no.9 , 2022 .
doi: http://doi: 10.28924/ada/ma.2.9
13
U Ruman and Md Shafiqul Islam : Galerkin Weighted Residual Method for Solving Fourth Order Fractional Differential and Integral Boundary Value Problems, Journal of Applied Mathematics and Computation , vol.6 , no.2 hillpublisher.com , pp.246-255 , 2022 .
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14
MN Sohel, Md. Shafiqul Islam, Md. Shariful Islam and Md. Kamrujjaman : Galerkin Method and Its Residual Correction with Modified Legendre Polynomials, Contemporary Mathematics , vol.3 , no.2 , pp.188-202 , 2022 .
15
Md Nurunnabi Sohel, Md Shariful Islam and Md Shafiqul Islam : Galerkin Residual Correction for Fourth Order BVP, Journal of Applied Mathematics and Computation , vol.5 , no.1 , pp.127-138. , 2022 .
doi: http://10.26855/jamc.2022.03.014
16
Hazrat Ali, Md. Kamrujjaman and Md. Shafiqul Islam : An Advanced Galerkin Approach to Solve the Nonlinear Reaction-Diffusion Equations With Different Boundary Conditions, Journal of Mathematics Research , vol.14 , no.1 , 2022 .
doi: http://doi:10.5539/jmr.v14n1p30
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17
Sadia Akter Lima, Md. Kamrujjaman and Md. Shafiqul Islam : Numerical solution of convection–diffusion–reaction equations by a finite element method with error correlation, AIP Advances , vol.11 AIP , pp.085225 , 2021 .
doi: http://doi: 10.1063/5.0050792
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18
Md. Shafiqul Islam and Umme Ruman : Numerical Solutions of Linear Fractional Order BVP by Galerkin Residual Method with Differentiable Polynomials, Applied and Computational Mathematics , vol.9 , no.2 , pp.20 – 25 , 2020 .
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19
Mohammad Tanzil Hasan, Md. Shafiqul Islam and Mir Shariful Islam : The Impulsive Motion of Flat Plate in Generalized Second Grade Fluid with Anomalous Diffusion, American Journal of Applied Mathematics. Vol. 8, No. 6, 2020, pp. 327-333. , vol.8 , no.6 , pp.327 333 , 2020 .
20
Md. Shafiqul Islam, Md. Shorif Hossan and A B M Shahadat Hossain : Numerical Solutions of Black-Scholes Model by Du Fort-Frankel FDM and Galerkin WRM, International Journal of Mathematical Research , vol.9 , no.1 , pp.1 – 10. , 2020 .
21
Md. Shafiqul Islam, Hazrat Ali, and Md. Kamrujjaman : Numerical Computation of Fitzhugh-Nagumo Equation: A Novel Galerkin Finite Element Approach, International Journal of Mathematical Research , vol.9 , no.1 , pp.20 – 27 , 2020 .
22
Sadia Akter Lima, Md. Kamrujjaman and Md. Shafiqul Islam : Direct Approach to Compute a Class of Reaction-Diffusion Equation by a Finite Element Method, Journal of Applied Mathematics and Computation , vol.4 , no.2 , pp.26-33. , 2020 .
23
Md. Shafiqul Islam and Muntasir Alam : Numerical Solutions of Time Dependent Partial Differential Equations Using Weighted Residual Method with Piecewise Polynomials., The Dhaka University Journal of Science , vol.67 , no.1 , pp.5– 12 , 2019 .
24
Md. Shafiqul Islam and Nazrul Islam : Bezier Polynomials with Application, The Dhaka University Journal of Science , vol.66 , no.2 , pp.157– 162 , 2018 .
25
Md. Shafiqul Islam, Humaira Farzana and Samir Kumar Bhowmik : Numerical solutions of sixth order eigenvalue problems using Galerkin weighted residual method, Differential Equations and Dynamical Systems (Springer) , vol.25 , no.2 , pp.187 - 205 , 2017 .
26
Md.Shafiqul Islam, H.T. Rathod, H.Y. Shrivalli, Bharath Rathod and K. Sugantha Devi : Finite element solution of Poisson Equation over Polygonal Domains using a novel auto mesh generation technique and an explicit integration scheme for nine node linear convex quadrilateral of Lagrange family, International Journal of Engineering and Computer Science (IJECS) , vol.6 , no.11 , pp.22869 – 23058 , 2017 .
27
Md Shafiqul Islam and Hazrat Ali : Generalized Galerkin Finite Element Formulation for the Numerical Solutions of Second Order Nonlinear Boundary Value Problems, GANIT Jn. of Bangladesh Math. Society , vol.37 , no.2017 , pp.147-159. , 2017 .
28
Md. Shafiqul Islam and Mahua Jahan Rupa : Numerical solutions of system of second order boundary value problems using Galerkin method, GANIT Jn. of Bangladesh Math. Society , vol.37 , pp.161 – 174 , 2017 .
29
Md. Shafiqul Islam and Md. Bellal Hossain : Numerical approaches for tenth and twelfth order linear and nonlinear differential equations, British Journal of Mathematics and Computer Science , vol.5 , no.5 , pp.637 – 653 , 2015 .
30
Md Shafiqul Islam and Humaira Farzana : Application of Galerkin Weighted Residual Method to 2nd, 3rd and 4th order Sturm-Liouville Problems, Mathematical Theory and Modeling , vol.5 , no.2 , pp.195 – 206 , 2015 .
31
Md. Shafiqul Islam and Md. Bellal Hossain : Numerical Solutions of Eighth Order BVP by the Galerkin Residual Technique with Bernstein and Legendre Polynomials, Applied Mathematics and Computation (Elsevier) , vol.261 , pp.48 – 59 , 2015 .
32
Md. Shafiqul Islam, Humaira Farzana and Samir Kumar Bhowmik : Computation of Eigenvalues of the Fourth Order Sturm-Liouville BVP by Galerkin Weighted Residual Method, British Journal of Mathematics and Computer Science , vol.9 , no.1 , pp.73 – 85. , 2015 .
33
Md. Shafiqul Islam and Humaira Farzana : Computation of some second order Sturm-Liouville BVP using Chebyshev Legendre Collocation method, GANIT Journal of Bangladesh Mathematical Society , vol.35 , pp.97– 114. , 2015 .
34
Md. Shafiqul Islam and M. Alamgir Hossain : Generalized Composite Numerical Integration Rule Over a Polygon Using Gaussian Quadrature, The Dhaka University Journal of Science , vol.62 , no.1 , pp.25 – 29 , 2014 .
35
Md. Shafiqul Islam and Md. Bellal Hossain : Numerical Solutions of Sixth Order Linear and Nonlinear Boundary Value Problems Polynomials, Journal of Advances in Mathematics , vol.7 , no.2 , pp.1180 – 1190 , 2014 .
36
Md. Shafiqul Islam and Md. Bellal Hossain : Numerical Solutions of General Fourth Order Two point Boundary Value Problems by Galerkin Method with Legendre Polynomials, The Dhaka University Journal of Science , vol.62 , no.2 , pp.103 – 108 , 2014 .
37
Md. Shafiqul Islam and Md. Bellal Hossain : A Novel Numerical Approach for Odd Higher Order Boundary Value Problems, Mathematical Theory and Modeling , vol.4 , no.5 , pp.1 – 11. , 2014 .
38
Md. Shafiqul Islam, Md. Bellal Hossain and Md. Azizur Rahman : Numerical Solutions of Eleventh Order Boundary Value Problems Using Piecewise Polynomials,, IOSR Journal of Mathematics , vol.10 , no.3 , pp.58-68 , 2014 .
39
Md. Shafiqul Islam, Jishan Ahmed and Paulo Correia : Numerical Solutions of Euler Equations by Runge-Kutta Discontinuous Galerkin Method, Inter J Math Computer Appl Research , vol.3 , no.1 , pp.83 – 94. , 2013 .
40
Md. Shafiqul Islam and Md. Azizur Rahman : Solutions of Linear and Nonlinear Volterra Integral Equations Using Hermite and Chebyshev Polynomials, International Journal of Computers & Technology , vol.11 , no.8 , pp.2910 – 2920 , 2013 .
41
Md. Shafiqul Islam and Md. Bellal Hossain : On the Use of Piecewise Standard Polynomials in the Numerical Solutions of Fourth Order Boundary Value Problems, GANIT Jn. of Bangladesh Math. Society , vol.33 , pp.53 – 64 , 2013 .
42
Md. Shafiqul Islam, M. A. Rahman and M. M. Alam : Numerical Solutions of Volterra Integral Equations Using Laguerre Polynomials, Journal of Scientific Research, , vol.4 , no.2 , pp.357- 364 , 2012 .
43
Md. Shafiqul Islam and M. A. Rahman : Numerical Solutions of Volterra Integral Equations Using Legendre Polynomials, GANIT Jn. of Bangladesh Math. Society , vol.32 , pp.29 – 35 , 2012 .
44
Md. Shafiqul Islam, Goutam Saha and Nurunnahar Akter : Gauss-Legendre Numerical Integrations over a Quadrilateral Element in Closed Form, Bangladesh Journal of Scientific and Industrial Research , vol.46 , no.3 , pp.399-405 , 2011 .
45
Md. Shafiqul Islam and Afroza Shirin : Numerical solutions of a class of second order boundary value problems on using Bernoulli Polynomials, Applied Mathematics , vol.2 , no.9 , pp.1059 – 1067. , 2011 .
46
Thowhida Akther, Md. Shafiqul Islam and Sanwar Uddin Ahmad : Eigenvalue Analysis of 2D Helmholtz equation on Quadrilateral Elements,, The Dhaka University Journal of Science , vol.58 , no.1 , pp.141 – 142 , 2010 .
47
Afroza Shirin and Md. Shafiqul Islam : Numerical solutions of Fredholm integral equations using Bernstein polynomials, Journal of Scientific Research , vol.2 , no.2 , pp.264-272 , 2010 .
48
M. Alamgir Hossain and Md. Shafiqul Islam : Applications of composite numerical integrations using Gauss-Radau and Gauss-Lobatto quadrature rules, Journal of Scientific Research , vol.2 , no.3 , pp.465-477 , 2010 .
49
Md. Shafiqul Islam and Afroza Shirin : Numerical solutions of Fredholm integral equations of second kind using piecewise Bernoulli polynomials, The Dhaka University Journal of Science , vol.58 , no.2 , pp.264-272 , 2010 .
50
Md. Shafiqul Islam and M. Alamgir Hossain : Application of composite numerical integrations over a standard square finite element, Jahangirnagar University Journal of Science , vol.33 , no.1 , pp.75 – 86 , 2010 .
51
Md. Shafiqul Islam, Mostak Ahmed and M. Alamgir Hossain : Numerical Solutions of IVP Using Finite Element Method with Taylor Series, GANIT Jn. of Bangladesh Math. Society , vol.30 , pp.51 – 58 , 2010 .
52
Md. Shafiqul Islam and M. Alamgir Hossain : Numerical Integrations over an Arbitrary Quadrilateral Region,, Applied Mathematics and Computation (Elsevier) , vol.210 , no.2 , pp.515 – 524 , 2009 .
53
H.T. Rathod, R.D. Sathish, Md. Shafiqul Islam and Arun Kumar Gali : Application of MATLAB symbolic maths with variable precision arithmetic (vpa) to compute some high order Gauss Legendre Quadrature rules, GANIT Jn. of Bangladesh Math. Society , vol.29 , pp.117 - 125 , 2009 .
54
Md. Shafiqul Islam and Goutam Saha : Applications of Gauss-Radau and Gauss-Lobatto numerical integrations over a four node quadrilateral finite element, Bangladesh Journal of Scientific and Industrial Research , vol.43 , no.3 , pp.377-386 , 2008 .
55
Md. Shafiqul Islam and Nurunnahar Akter : Closed form numerical integration formulae for a four-node convex quadrilateral finite element, The Dhaka University Journal of Science , vol.56 , no.2 , pp.165 - 169 , 2008 .
56
Md. Shafiqul Islam and M. Alamgir Hossain : Numerical Integrations over an Arbitrary Triangular Region,, International e-Journal of Numerical Analysis and Related Topics (IeJNART) , vol.2 , pp.24 – 40 , 2008 .
57
Md. Shafiqul Islam and Goutam Shaha : Analytical stiffness Matrix in plane elasticity related to linear quadrilateral elements, GANIT Jn. of Bangladesh Math. Society , vol.27 , pp.37 – 53 , 2007 .
58
H. T. Rathod, B. Venkatesudu, K.V. Nagraja and Md. Shafiqul Islam : Gauss Legendre – Gauss Jacobi quadrature rules over a tetrahedral region, Applied Mathematics and Computation (Elsevier) , vol.190 , no.1 , pp.186 – 194 , 2007 .
59
Md. Shafiqul Islam and H. T. Rathod : Alternative approach of numerical integration for rational functions related to linear convex quadrilateral finite elements, Journal of Applied Sciences Research (Insinet) , vol.2 , no.9 , pp.533 – 540 , 2006 .
60
Md Shafiqul Islam : Explicit hermite basis functions for linear quadrilateral elements, GANIT Jn. of Bangladesh Math. Society , vol.22 , pp.73 – 82 , 2004 .
61
Md Shafiqul Islam and Md Jahrul Alam : Accuracy of the quadratic quadrilateral finite elements of straight sides, GANIT Jn. of Bangladesh Math. Society , vol.20 , pp.21–35 , 2003 .
62
H T Rathod and Md Shafiqul Islam : Reduction of rational integrals related to linear and convex quadrilateral finite elements, Numerical Methods for Partial Differential Equations (Wiley) , vol.18 , pp.759 - 770 , 2002 .
63
H T Rathod and Md Shafiqul Islam : Some pre-computed universal arrays for linear convex quadrilateral finite elements, Finite Elements in Analysis and Design (Elsevier) , vol.38 , pp.113 – 136 , 2001 .
64
H T Rathod and Md Shafiqul Islam : Some analytical integration formulas for trapezoidal shape quadrilateral elements of Lagrange family, Communications in Numerical Methods in Engineering (Wiley) , vol.16 , pp.423–438 , 2000 .
65
H T Rathod and Md Shafiqul Islam : Integration of rational functions of bivariate numerators with linear denominators over (-1,1) square in a local parametric two dimensional space, Computer Methods in Applied Mechanics and Engineering (Elsevier) , vol.161 , pp.195–213 , 1998 .
66
Md. Shafiqul Islam : Spectrum of the ceasaro operator on the space of bounded sequences, Jn. of Shahjalal University of Science & Technology , vol.1 , no.1 , pp.48-54 , 1996 .
Award Type Title Year Country Description
No award information is found
Dr. Md. Shafiqul Islam
Professor
Department of Applied Mathematics
Faculty of Science
Email: mdshafiqul@du.ac.bd
Mobile (Dept): +88 017 11 86 47 25
Mobile (Personal): 01711864725