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 .

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 .

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 .

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 .

H Farzana, SK Bhowmik and Md Shafiqul Islam : Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems, MethodsX, 102006 , 2023 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

Md. Shafiqul Islam and Nazrul Islam : Bezier Polynomials with Application, The Dhaka University Journal of Science , vol.66 , no.2 , pp.157– 162 , 2018 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

Md Shafiqul Islam : Explicit hermite basis functions for linear quadrilateral elements, GANIT Jn. of Bangladesh Math. Society , vol.22 , pp.73 – 82 , 2004 .

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 .

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 .

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 .

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 .

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 .

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 .