• Parallel and high resolution numerical solution of concentration and temperature distributions in fluidized beds. Computers & chemical engineering, 52:122-133, 2013. https://doi.org/10.1016/j.compchemeng.2012.12.004, with C Nagaiah, A Bück, G Warnecke

• Benchmark 3D: a composite hexahedral mixed finite element.  Finite Volumes for Complex Applications VI Problems & Perspectives, 2011. https://doi.org/10.1007/978-3-642-20671-9_94, with I B Gharbia, Jérôme Jaffré, J E Roberts

• Discontinuous Galerkin solution of the convection-diffusion-reaction equations in fluidized beds. Applied Numerical Mathematics, 153: 188-201, 2020. (https://doi.org/10.1016/j.apnum.2020.02.008 with V Dhanya Varma, C Nagaiah)

• Numerical study of isothermal drying in porous media. Special Topics & Reviews in Porous Media: An International Journal, 12(5): 83-99, 2021.   https://www.dl.begellhouse.com/journals/3d21681c18f5b5e7,1a4859b26aa5fc59,6fa9732d4feea8aa.html, Suresh Kumar Nadupuri                                            

• Higher order accurate numerical solution of Nagumo equation. AIP Conference Proceedings, volume 2336,030002:1–8, 2021. (with Sobin Thomas, Gopika PB)

• A posteriori error estimates and an adaptive finite element solution for the system of unsteady convection-diffusion-reaction equations in fluidized beds. Applied Numerical Mathematics, 163: 108-125, 2021. https://doi.org/10.1016/j.apnum.2021.01.012, with V Dhanya Varma, C Nagaiah.

• A priori error estimates for finite element approximations to transient convection-diffusion-reaction equations in fluidized beds. International Journal of Nonlinear Sciences and Numerical Simulation, 23(7-8):1047-1060, 2022. (with V Dhanya Varma)

• Higher Order Accurate Compact Schemes for Time Dependent Linear and Nonlinear Convection-Diffusion Equations. The Australian Journal of Mathematical Analysis and Applications, 20(1):1-17, 2023. https://ajmaa.org/cgi-bin/paper.pl?string=v20n1/V20I1P21.tex, with Sobin Thomas, Gopika PB.

• A New Compact Numerical Scheme for Solving Time Fractional Mobile-Immobile Advection-Dispersion Model. Malaysian Journal of Mathematical Sciences, 17(3):241–262, 2023. https://doi.org/10.47836/mjms.17.3.02, with Sobin Thomas.

• A Crank-Nicolson type higher order compact exponential scheme for solving variable order time fractional mobile-immobile advection-dispersion model. TWMS Journal of Applied and Engineering Mathematics, 4(4):1609–1621, 2024. (with Sobin Thomas)

• Optimality Conditions for Optimal Control of the Monodomain Model with Pointwise Control and State Constraints. Journal of Optimization Theory and Applications, 202:605:627, 2024. (DOI: 10.1007/s10957-024-02440-3, With Maria Robert, C Nagaiah)

• Moreau-Yosida regularization to optimal control of the monodomain model with pointwise control and state constraints in cardiac electrophysiology.  Journal of Computational and Applied Mathematics, 457:116306, 2024,DOI: 10.1016/j.cam.2024.116306.  (with Maria Robert, C Nagaiah)

• Analysis and simulation of sparse optimal control of the monodomain model. Computers & Mathematics with Applications, 184:29-44, 2025, https://doi.org/10.1016/j.camwa.2025.02.008 (with Maria Robert, C Nagaiah).

• Some Robust Numerical Schemes and Analysis for Solving Time Fractional Nagumo Equation. Int. J. Appl. Comput. Math 11, 95 (2025), https://doi.org/10.1007/s40819-025-01907-9. (with Sobin Thomas, S Rama Chandra Karthik)

• Higher order accurate computational methods for solving one and two dimensional time fractional Fokker-Planck equations. Engineering Computations, 1-27, 2025.           (https://doi.org/10.1108/EC-01-2025-0046, with Fathima Hida M P Meethal, Sobin Thomas) 

• Novel numerical approach for time-fractional Fokker-Planck equation with nonlocal initial condition and weak singularity. Physica Scripta, 101(10):1-21, 2026. (DOI: 10.1088/1402-4896/ae45d3, with Fathima Hida MP Meethal)

• Higher-Order Accurate Compact Schemes and Analysis for the Time-Fractional Black-Scholes Model.  TWMS Journal of Applied and Engineering Mathematics, 16(5):640-669, 2026. (with  Muhammed Fayis P and Fathima Hida MP Meethal)

• Optimal control of the monodomain model in cardiac electrophysiology: a virtual control regularization approach. Computational and Applied Mathematics, 45(412):1-24, 2026. (https://doi.org/10.1007/s40314-026-03785-3, with  Maria Robert and Nagaiah Chamakuri.)

• A meshfree RBF-FD computational approach for 2D and 3D multi-term time-fractional Fokker–Planck equations with weak initial singularities on complex domains. Engineering Analysis with Boundary Elements, 191(106931):1-16, 2026. https://doi.org/10.1016/j.enganabound.2026.106931, with  Fathima Hida M P Meethal.

• Novel Computational Methods and Analysis with Temporal Uniform/Non-Uniform Meshes to Solve Mixed-Type Time-Fractional Black-Scholes Equation. Computational Economics, 1-43, 2026. (https://doi.org/10.1007/s10614-026-11375-y, with  Muhammed Fayis P.)

• Higher-order numerical scheme for solving variable order time fractional mobile–immobile transport model with variable convection coefficient. Soft Computing, 2026, https://doi.org/10.1007/s00500-026-11431-7. (With Sobin Thomas)

• Existence and uniqueness of solution of the fluidized bed spray granulation model, The Journal of Analysis, 2026. http://doi.org/10.1007/s41478-026-01163-0 (With V Dhanya Varma, Nagaiah Chamakuri and Sekhar Ghosh).

• Robust computational methods for 1D and 2D multi-term time-fractional Fokker–Planck equations with weak singularity. Physica Scripta, 101(38):1-35, 2026. (DOI: 10.1088/1402-4896/aea501, with Fathima Hida MP Meethal)

       Completed

• Dr. V Dhanya Varma, Mathematical analysis and numerical simulation of convection-diffusion-reaction equations in fluidized beds.
• Dr. Sobin Thomas, Robust compact numerical schemes for integer and fractional order time dependent convection-diffusion and diffusion-reaction equations
• Dr. Maria Robert, Analysis and Computation of Optimal Control of Coupled Reaction–Diffusion Systems.

       Ongoing

• Ms. Fathima Hida M P Meethal (Numerical analysis of fractional Fokker-Planck equations in higher dimensions)
• Mr.  Muhammed Fayis P (Higher order numerical methods for solving Black-Scholes model) 
• Ms. Asha Vinnoliya (PDE constrained optimization of reaction-diffusion equations)
• Ms. Hanna Maryam (Computational methods for transport in porous media)
• Ms. Aleena Anna Mathews (Modelling and simlation of population balance equations)

• Chairperson-Council of wardens (3/6/2026 to till date)
• Deputy Chairperson of UG Admissions ( June 2022 to January 2024)
• First Year B.Tech Coordinator (September 2024 to August 2026)
• Convener of West Campus NITC hostels (September 2024to May 2026)
• Warden of NITC hostels (August 2018 to July 2021 and October 2023 to May 2026)
• Faculty in charge of Club Mathematica (November 2019 to February 2025)
• Chief election officer of Student Governance Election (2024 and 2025)