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  1. Solutions of Nonlinear Parabolic PDEs: A Novel Technique Based on Galerkin‐Finite Difference Residual Corrections

    Article • International Journal of Differential Equations, January 2025, Wiley

    Dr. Md. Shafiqul Islam

  2. Combining approach of collocation and finite difference methods for fractional parabolic PDEs

    Article • Partial Differential Equations in Applied Mathematics, December 2024, Elsevier

    Dr. Md. Shafiqul Islam

  3. Taylor-Galerkin method for solving higher-order nonlinear complex differential equations

    Article • MethodsX, December 2024, Elsevier

    Dr. Md. Shafiqul Islam

  4. Galerkin-finite difference method for fractional parabolic partial differential equations

    Article • MethodsX, June 2024, Elsevier

    Dr. Md. Shafiqul Islam

  5. Galerkin-Bernstein Approximations of the System of Time Dependent Nonlinear Parabolic PDEs

    Article • General Letters in Mathematics, September 2023, Refaad for Studies and Research

    Dr. Md. Shafiqul Islam

  6. Numerical Approximations of a Class of Nonlinear Second-Order Boundary Value Problems using Galerkin-Compact Finite Difference Method

    Article • European Journal of Mathematics and Statistics, August 2023, European Open Access Publishing (Europa Publishing)

    Dr. Md. Shafiqul Islam

  7. Numerical method to solve generalized nonlinear system of second order boundary value problems: Galerkin approach

    Article • Advances in the Theory of Nonlinear Analysis and its Application, July 2023, Advances in the Theory of Nonlinear Analysis and its Application

    Dr. Md. Shafiqul Islam

  8. Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems

    Article • MethodsX, January 2023, Elsevier

    Dr. Md. Shafiqul Islam

  9. On the Numerical Treatment of 2D Nonlinear Parabolic PDEs by the Galerkin Method with Bivariate Bernstein Polynomial Bases

    Article • Journal of Applied Mathematics and Computation, November 2022, Hill Publishing Group Inc.

    Dr. Md. Shafiqul Islam

  10. Galerkin Method and Its Residual Correction with Modified Legendre Polynomials

    Article • Contemporary Mathematics, May 2022, Universal Wiser Publisher Pte. Ltd

    Dr. Md. Shafiqul Islam

  11. Efficient Numerical Schemes for Computations of European Options with Transaction Costs

    Article • European Journal of Mathematical Analysis, February 2022, SCIK Publishing Corporation

    Dr. Md. Shafiqul Islam

  12. An Advanced Galerkin Approach to Solve the Nonlinear \\[6pt]Reaction-Diffusion Equations With Different Boundary Conditions

    Article • Journal of Mathematics Research, January 2022, Canadian Center of Science and Education

    Dr. Md. Shafiqul Islam

  13. Numerical solution of convection–diffusion–reaction equations by a finite element method with error correlation

    Article • AIP Advances, August 2021, American Institute of Physics

    Md. Shafiqul Islam, Dr. Md. Shafiqul Islam, Md Kamrujjaman

  14. Direct Approach to Compute a Class of Reaction-Diffusion Equation by a Finite Element Method

    Article • Journal of Applied Mathematics and Computation, May 2020, Hill Publishing Group Inc.

    Dr. Md. Shafiqul Islam

  15. Numerical Computation of Fitzhugh-Nagumo Equation: A Novel Galerkin Finite Element Approach

    Article • International Journal of Mathematical Research, January 2020, Pak Publishing Group

    Dr. Md. Shafiqul Islam

  16. Numerical Solutions of Linear Fractional Order BVP by Galerkin Residual Method with Differentiable Polynomials

    Article • Applied and Computational Mathematics, January 2020, Science Publishing Group

    Dr. Md. Shafiqul Islam

  17. Numerical Solutions of System of Second Order Boundary Value Problems using Galerkin Method

    Article • GANIT Journal of Bangladesh Mathematical Society, February 2018, Bangladesh Journals Online (BanglaJOL)

    Dr. Md. Shafiqul Islam

  18. Numerical Solutions of Sixth Order Eigenvalue Problems Using Galerkin Weighted Residual Method

    Article • Differential Equations and Dynamical Systems, September 2016, Springer Science + Business Media

    Dr. Md. Shafiqul Islam

  19. Numerical solutions of eighth order BVP by the Galerkin residual technique with Bernstein and Legendre polynomials

    Article • Applied Mathematics and Computation, June 2015, Elsevier

    Dr. Md. Shafiqul Islam, Dr. Md. Shafiqul Islam

  20. Numerical Solutions of General Fourth Order Two Point Boundary Value Problems by Galerkin Method with Legendre Polynomials

    Article • Dhaka University Journal of Science, February 2015, Bangladesh Journals Online (BanglaJOL)

    Dr. Md. Shafiqul Islam, Dr. Md. Shafiqul Islam

  21. Computation of Eigenvalues of the Fourth Order Sturm-Liouville BVP by Galerkin Weighted Residual Method

    Article • British Journal of Mathematics & Computer Science, January 2015, Sciencedomain International

    Dr. Md. Shafiqul Islam

  22. Numerical Solutions of Eleventh Order Boundary Value Problems Using Piecewise Polynomials

    Article • IOSR Journal of Mathematics, January 2014, IOSR Journals

    Dr. Md. Shafiqul Islam, Dr. Md. Shafiqul Islam

  23. Numerical Solutions of Volterra Integral Equations Using Laguerre Polynomials

    Article • Journal of Scientific Research, April 2012, Bangladesh Journals Online (BanglaJOL)

    Dr. Md. Shafiqul Islam, Alam Mahmud, Dr. Md. Shafiqul Islam

  24. Numerical Solutions of a Class of Second Order Boundary Value Problems on Using Bernoulli Polynomials

    Article • Applied Mathematics, January 2011, Scientific Research Publishing, Inc,

    Dr. Md. Shafiqul Islam

  25. Numerical Solutions of Fredholm Integral Equations Using Bernstein Polynomials

    Article • Journal of Scientific Research, April 2010, Bangladesh Journals Online (BanglaJOL)

    Dr. Md. Shafiqul Islam, Dr. Md. Shafiqul Islam

  26. Numerical integrations over an arbitrary quadrilateral region

    Article • Applied Mathematics and Computation, April 2009, Elsevier

    Dr. Md. Shafiqul Islam, Dr. Md. Shafiqul Islam

  27. Applications of Gauss-Radau and Gauss-Lobatto Numerical Integrations Over a Four Node Quadrilateral Finite Element

    Article • Bangladesh Journal of Scientific and Industrial Research, September 2008, Bangladesh Journals Online (BanglaJOL)

    Dr. Md. Shafiqul Islam, Dr. Md. Shafiqul Islam

  28. Gauss Legendre–Gauss Jacobi quadrature rules over a tetrahedral region

    Article • Applied Mathematics and Computation, July 2007, Elsevier

    Dr. Md. Shafiqul Islam, Dr. Md. Shafiqul Islam

  29. Some pre-computed universal numeric arrays for linear convex quadrilateral finite elements

    Article • Finite Elements in Analysis and Design, December 2001, Elsevier

    Dr. Md. Shafiqul Islam, Dr. Md. Shafiqul Islam

  30. Integration of rational functions of bivariate polynomial numerators with linear denominators over a (−1,1) square in a local parametric two-dimensional space

    Article • Computer Methods in Applied Mechanics and Engineering, August 1998, Elsevier

    Dr. Md. Shafiqul Islam