Publications

Selected Publications (peer reviewed research articles of Samir Kumar Bhowmik) Few Presentation Slides

Samir Kumar Bhowmik

Department of Mathematics

University of Dhaka, Dhaka, Bangladesh.

My detail on ResearchGate and Google Scholar.

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Submitted:

Samir Kumar Bhowmik and Sharanjeet Dhawan, "Spatiotemporal Orthogonal Polynomial Approximation for Partial Differential Equations" (Link Here)

Revised/Accepted:

Published:

2019:

1. Humaira Farzana and Samir Kumar Bhowmik, "Comparative Study on Sixth Order Boundary Value problems with Application to Linear Hydrodynamic Stability Problem and Benard Layer Eigenvalue Problem", Differential Equations and Dynamical systems, December, 2019, 1-27, DOI: 10.1007/s12591-019-00509-4. (Link Here)

2. Samir Kumar Bhowmik and SBG Karakoc, "Numerical approximation of the generalized regularized long wave equation using Petrov-Galerkin finite element method", arXiv preprint arXiv:1904.03354., published, 2019, Numerical Methods for PDEs. (Link Here)

3. Samir Kumar Bhowmik, SBG Karakoc, "Numerical solutions of the generalized equal width wave equation using Petrov Galerkin method", Applicable analysis, https://doi.org/10.1080/00036811.2019.1616696, pages 1-19, 2019. (Link Here)

4. Samir Kumar Bhowmik and Md Mahbub Rahman, "Stability and Accuracy Analysis of $\theta$ Schemes for a Convolutional Integro-differential Equation", Differential Equations and Dynamical Systems, https://doi.org/10.1007/s12591-019-00476-w, April, 2019.

   1. Seydi Battal Gazi Karakoc, and Samir Kumar Bhowmik," Galerkin Finite Element Solution for Benjamin-Bona-Mahony-Burgers Equation with Cubic B-Splines", Computers and Mathematics with Applications, Volume 77, Issue 7, 1 April 2019, Pages 1917-1932. (Link Here)

2018:

• 1. Seydi Battal Gazi Karakoc, and Samir Kumar Bhowmik," Galerkin Finite Element Solution for Benjamin-Bona-Mahony-Burgers Equation with Cubic B-Splines",19-11-2018, Computers and Mathematics with Applications, Available online 7 December 2018. (Link Here)

1. Seydi Battal Gazi Karakoc, Fuzheng Gao and Samir Kumar Bhowmik, "Solitons and Shock Waves Solutions for the Rosenau-KdV-RLW Equation", accepted, Nov 02, 2018, Journal of Science and Art.

2. Seydi Battal G Karakoc, Samir Kumar Bhowmik, Fuzheng Gao, "A Numerical Study Using Finite Element Method For Generalized ROSENAU-KAWAHARA-RLW Equation", Accepted, 29-10-2018, Computational Methods for Differential Equations.

3. Muhammad Nasir Ali · Syed Muhammad Husnine ·Asit Saha · Samir Kumar Bhowmik ·Sharanjeet Dhawan · Turgut Ak, "Exact solutions, conversation laws, bifurcation of nonlinear and supernonlinear travelling waves for Sharma-Tasso-Olyver equation", Nonlinear Dyn (2018). https://doi.org/10.1007/s11071-018-4457-x (Link here).

4. Samir Kumar Bhowmik and Rubayyi T. Alqahtani, "Mathematical Analysis %of a Chemostat Model of bioethanol production through continuous fermentation with a settling unit", Computers & Chemical Engineering, Jan 03, 2018. (Link Here).

2017:

1. Turgut Ak, Houria Triki, Sharanjeet Dhawan, Samir Kumar Bhowmik and Anjan Biswas, "Computational Analysis of Shallow Water Waves with Korteweg-de Vries Equation", accepted, Oct, 2017, Scientica Iranica. (Link here)

2. Turgut A K. Sharanjeet Dhawan, S. Battal Gazi Karakoc, Samir Kumar Bhowmik and Kamal R. Raslan, “ Numerical Study of Rosenau-KdV Equation Using Finite Element Method Based on Collocation Approach”, Mathematical Modelling and Analysis , 22(3):373-388, May 2017" (Link here), Taylor & Francis online.

3. Chandra N. Podder, Syada E. Shahed, Olliwaseun Sharomi and Samir Kumar Bhowmik, " Mathematical study of in-host dynamics of herpes simplex virus type 2 to assess the impact of immune response." , J. Biol. Syst. 25, 47 (2017). DOI: http://dx.doi.org/10.1142/S0218339017500036 (Link here),a World Scientific journal.

2016:

1. Samir Kumar Bhowmik, R. Belbaki, Tahar Z. Boulmezaoud and Samy Mziou, "Solving exterior 2D Dirichlet problem for second order elliptic equations by inverted finite elements method. ",Computers & Mathematics with Applications 72(9):2315–2333 · November 2016, Elsevier (Link Here).

   1. Md. Shafiqul Islam, Humaira Farzana, Samir Kumar Bhowmik, "Numerical solutions of sixth order Eigenvalue problems using Galerkin weighted residual method ", Differ Equ Dyn Syst (2016). doi:10.1007/s12591-016-0323-9, 14 September 2016, P 1-19 (Link Here)

2015:

• 1. Samir K. Bhowmik and A. Aljouiee, "Efficient numerical approximations of a nonlinear partial integro-differential equation", Differential equations and Dynamical Systems, 2015.

  2. S. Dhawan, Samir Kumar Bhowmik, and Sheo Kumar, "Galerkin-least square B-spline approach towards advection-diffusion equation", Applied Mathematics and Computation,Volume 261, 15 June 2015, Pages 128–140 (Link, PDF).

  3. Samir Kumar Bhowmik, "A Multigrid Preconditioned Numerical Scheme for a Reaction-Diffusion System.", (Link Here, PDF ) Applied Mathematics and Computations, Volume 254, 1 March 2015, Pages 266–276.

1. Samir Kumar Bhowmik, "Tchebychev Polynomial Approximations for mth Order Boundary Value Problems", (Link Here, PDF), International Journal of Pure and Applied Mathematics, Volume 98 No. 1 2015, 45-63, ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version), url: http://www.ijpam.eu, doi: http://dx.doi.org/10.12732/ijpam.v98i1.6.

2. Abdullah Aljouiee and Samir Kumar Bhowmik, "Windowed Fourier Frames to Approximate Two Point Boundary Value Problems", (Link here).

2014:

• 1. Christiaan C. Stolk, Mostak Ahmed, and Samir K. Bhowmik, "A multigrid method for the Helmholtz equation with optimized coarse grid corrections". (,link here). SIAM J. Sci. Comput., 36(6), A2819–A2841. (23 pages). , 2014.(PDF)

  2. Samir K. Bhowmik, "A Discontinuous Galerkin Finite Element Approximation of a Dot Theta Neuron Network Model", Applicable Analysis, September, 2014. (link here,PDF).

1. Samir K. Bhowmik, "Piecewise Polynomial Approximation of a Nonlocal Phase Transitions Model" (link here) Mathematical Analysis and Applications, Volume 420, Issue 2, 15 December 2014, Pages 1069–1094.

   1. Samir K. Bhowmik, Feras M. Al Faqih, and Nazmul Islam, " A Note on Some Numerical Approaches to Solve a Neuron Networks Model"(link here), Abstract and Applied Analysis, Volume 2014 (2014), Article ID 863842, 7 pages, http://dx.doi.org/10.1155/2014/863842.

2. Samir K. Bhowmik, "Fast and Efficient Numerical Methods for an Extended Black-Scholes Model" (link here, journal site), Computers and Mathematics with Applications, Volume 67, Issue 10, June 2014, Pages 2027.

2013:

• 1. Md. Kazi Salah Uddin, Mostak Ahmed, and Samir K. Bhowmik, A Note on Numerical Solution of a Linear Black-Scholes Model, GANIT, J. Bangladesh Math. Soc. (ISSN 1606-3694) Vol. 33 (2013) 103 - 115. (link here)

  2. Samir K. Bhowmik, "Numerical Approximation of a Linear Parabolic PDE", Dhaka University Journal of Science, January, 2013.

  3. M. Ahmed and Samir K. Bhowmik, "Solution of transcendental equation using clamped cubic spline", Dhaka University Journal of Science, January, 2013.

2012:

1. Samir K. Bhowmik, Numerical convergence of a one step approximation of an intrgro-differential equation, (link here), Applied Numerical Mathematics, http://dx.doi.org/10.1016/j.apnum.2012.08.003, August, 2012.

2011:

• • 1. Samir K. Bhowmik and Chris. C. Stolk, Preconditioners based on windowed Fouerier frames applied to elliptic partial differential equations,Journal of Pseudo-Differential Operators and Applications, Springer, Volume 2, Number 3, 317-342, April, 2011, DOI: 10.1007/s11868-011-0026-5. (pdf).

    2. Samir K. Bhowmik, Numerical Approximation of a Convolution Model of dot theta-Neuron Networks. Applied Numerical Mathematics, December 17, 2010, available online since December 22, 2010 (link here, doi:10.1016/j.apnum.2010.12.003 ,pdf)

    3. S. Bhowmik, D. B. Duncan, M. Grinfeld and G. J. Lord, Finite to infinite steady state solutions, bifurcations of an integro-differential equation (linkhere), Discrete and Continuous Dynamical Systems, Series B,Pages: 57 - 71, Volume: 16 , Issue: 1 , July 2011

2010:

• 1. Samir K. Bhowmik, Stable numerical schemes for a partly convolutional partial integro-differential equation, Applied Mathematics and Computations, Volume 217, Issue 8, 15 December 2010, Pages 4217-4226. (link here, pdf)

  2. Samir K. Bhowmik,, "Stability and Convergence Analysis of a One Step Approximation of a Linear Partial Integro-Differential Equation", published online on March 29, 2010, Numerical Methods for Partial Differential Equations (linked here, journal link)

2009:

1. Samir K. Bhowmik, Nonstandard Numerical Integrations of a Lotka-Volterra System, International Journal of Open problems in Computer Science and Mathematics, Vol. 2. No. 2. June, 2009.

   1. Samir Kumar Bhowmik, Numerical Computation of a Nonlocal Double Obstacle Problem, International Journal of Open problems in Computer Science and Mathematics, Vol. 2. No. 1. March, 2009.

1. Samir K. Bhowmik, "Error Estimate in Numerical Computations for a Linear Convolution Model", International Journal of Computing & Information Technology, IJCIT Vol.1, No. 2, July 2009.

2001:

1. Samir K. Bhowmik and Sajeda Banu, The Cubic Spline Method for solving singular BVP Involving Second Order Ordinary differential Equations. Published in Dhaka University Journal of Science in July 2001.

2008: (PhD Thesis)

• 1. Samir K. Bhowmik, Numerical approximation of a nonlinear partial integro-differentail Equation. PhD thesis, Department of Mathematics, Heriot-Watt University, Edinburgh, United Kingdom, July, 2008.

2000: (MSC thesis)

• 1. Samir K. Bhowmik, Numerical solution of singular two point Boundary Value Problems. M. Sc. Thesis, August 2000, Department of Mathematics, University of Dhaka. My MS thesis supervisor was Professor Sajeda Banu

last update: Aug. 29, 2016 by Samir K. Bhowmik, e-mail: bhowmiksk@gmail.com.