Manish Kumar, Rajendra K Ray, A Coupled Fourth Order Telegraph Diffusion Framework Using Grayscale Indicators for Image Despeckling. April 2026. arXiv preprint arXiv:2605.00881v1 

Manish Kumar, Rajendra K. Ray, Single Image Defogging Using a Fourth-Order Telegraph PDE Guided by Physical Haze Modeling. April 2026. arXiv preprint arXiv:2605.00878v1 

Manish Kumar, Rajendra K Ray, Comparative Study of Weighted and Coupled Second-and Fourth-Order PDEs for Image Despeckling in Grayscale, Color, SAR, and Ultrasound. April 2026. arXiv preprint arXiv:2604.23612v1 

Biswanath Barman, Debdeep Chatterjee, Rajendra K Ray, A Simple but Efficient Transformer-Based Physics Informed Neural Network for Incompressible Navier--Stokes Equations. May 2026. arXiv preprint arXiv:2601.03613v2 

Ashwani Punia, Rajendra K Ray, A Novel Gaussian filter-based Pressure Correction Technique with Higher OrderSuper-Compact Scheme for Unsteady 3D Incompressible, Viscous Flows. Soft Computing (Springer). May 2026; 30(5): 3399-3423 [I.F.: 2.5] [Q2] 

Biswanath Barman, Rajendra K Ray, An Efficient Wavelet-based Physics Informed Residual Neural Networks for Flow Field Reconstruction with Extremely Sparse Data. January 2026. arXiv preprint arXiv:2601.18848, 2026 

Biswanath Barman, Debdeep Chatterjee, Rajendra K Ray, PhysicsFormer: An Efficient and Fast Attention-Based Physics Informed Neural Network for Solving Incompressible Navier Stokes Equations. January 2026. arXiv preprint arXiv:2601.03613, 2026 

Ashwani Punia, Rajendra K Ray, Effects of key parameters on three-dimensional hybrid nanofluid natural convection using higher-order super-compact scheme. Journal of Molecular Liquids (Elsevier). February 2026; 443: 129149. h ps://doi.org/10.1016/j.molliq.2025.129149. [I.F.: 5.2] [Q1] 

Ashwani Punia, Rajendra K Ray, Numerical investigation of three-dimensional mixed convection in a vented cavity with heated baffles. International Communications in Heat and Mass Transfer (Elsevier). December 2025; 169: 109738. https://doi.org/10.1016/j.icheatmasstransfer.2025.109738. [I.F.: 6.4] [Q1] 

Kajal Mittal, Rajendra K Ray, RK Mohanty, Two‐Level Implicit High Accuracy Method in Exponential Form for 2D Quasi‐Linear Parabolic Equations on Irrational Domain. Numerical Methods for Partial Differential Equations (John Wiley & Sons). November 2025; 41(6): e70049. https://doi.org/10.1002/num.70049. [I.F.: 1.7] [Q1] 

Rajendra K Ray, Manish Kumar, New Fourth-Order Grayscale Indicator-Based Telegraph Diffusion Model for Image Despeckling. September 2025. arXiv preprint arXiv:2509.26010. 

Mandira Samadder, Rajendra K Ray, Magnetohydrodynamics Mixed Convection Effects on Hybrid Nanofluid Heat Transfer and Entropy Generation. Journal of Thermophysics and Heat Transfer (AIAA). March 2025; pp. 1-17. https://doi.org/10.2514/1.T7074. [I.F.: 1.7] [Q2]. 

Ashwani Punia, Rajendra K Ray, Higher-Order Super-Compact Scheme for Three-Dimensional Heat Transfer with Nanofluid and Conducting Fins. Journal of Molecular Liquids (Elsevier). May 2025; 426: 127253. https://doi.org/10.1016/j.molliq.2025.127253. [I.F.: 5.2] [Q1]. 

Ashwani Punia, Rajendra K Ray, New higher-order super-compact scheme to study the uniform and non-uniform wall heating effect on 3D MHD natural convection and entropy generation. Computers & Fluids (Elsevier). March 2025; 289: 106538. https://doi.org/10.1016/j.compfluid.2024.106538 . [I.F.: 2.5] [Q1]. 

Divya Sharma, Kajal Mittal, Deepti Kaur, Rajendra K Ray, RK Mohanty, A new half-step compact exponential approximation for solution of 2D fourth-order non-linear parabolic equations. Journal of Difference Equations and Applications (Taylor and Francis). February 2025; 31(6): 892–926. https://doi.org/10.1080/10236198.2025.2471440. [I.F.: 1.1] [Q2]. 

Ashwani Punia, Rajendra K Ray, New higher-order super-compact finite difference scheme to study three dimensional natural convection and entropy generation in power-law fluids. January 2025. Physics of Fluids (AIP). January 2025; 37(1): 013324. https://doi.org/10.1063/5.0246131. [I.F.: 4.1] [Q1]. 

Divya Sharma, Kajal Mittal, Deepti Kaur, Rajendra K Ray, RK Mohanty, High accuracy two-level compact implicit method in exponential form for 2D fourth order quasi-linear parabolic equations. Numerical Algorithms (Springer). December 2024; pp. 1-49 (Online). https://doi.org/10.1007/s11075-024-01987-6. [I.F.: 1.7] [Q1]. 

Ashwani Punia, Rajendra K Ray, A new higher-order super compact finite difference scheme to study three dimensional non-Newtonian flows. Physics of Fluids (AIP). October 2024; 36(10): 103126. https://doi.org/10.1063/5.0231951. [I.F.: 4.1] [Q1]. 

Kajal Mittal, Rajendra K Ray, Two-level implicit high-order compact scheme in exponential form for 3D quasi linear parabolic equations. Applied Mathematics and Computation (Elsevier). August 2024; 485: 128984. https://doi.org/10.1016/j.amc.2024.128984. [I.F.: 3.5] [Q1]. 

Amarjit Haty, Rajendra K Ray, HVR Mittal, Flow dynamics and heat transfer in the wake of a rotary oscillating circular cylinder with an isothermal control plate. Numerical Heat Transfer, Part A: Applications (Taylor & Francis). July 2024 (Online); 87(1): 2374533. https://doi.org/10.1080/10407782.2024.2374533 . [I.F.: 2.8] [Q2] 

Amarjit Haty, Rajendra K Ray, Impact of an isothermal arc-shaped control plate on flow and heat transfer around an isothermally heated rotating circular cylinder. Indian Journal of Physics (Springer). May 2024; 98: 4801–4825. https://doi.org/10.1007/s12648-024-03195-3. [I.F.: 1.6] [Q3]. 

Mandira Samadder, Rajendra K Ray, Effect of Magnetic field and key parameters values on natural convection and entropy generation of hybrid nanofluid in a corrugated enclosure. Numerical Heat Transfer, Part A: Applications (Taylor & Francis). April 2024 (Online); 1-27. https://doi.org/10.1080/10407782.2024.2337757. [I.F.: 2.8] [Q2] 

Mandira Samadder, Rajendra K. Ray, Numerical Investigation of Hybrid Nanofluid Natural Convection and Entropy Generation in a Corrugated Enclosure with an Inner Conducting Block. Journal of Nanofluids (ASP). April 2024; 13(2): 306-326. https://doi.org/10.1166/jon.2024.2156. [I.F.: 2.3] [Q2]. 

Ashwani Punia, Rajendra K Ray, New higher-order accurate super-compact scheme for three-dimensional natural convection and entropy generation. Physics of Fluids (AIP). March 2024; 36(3): 033617. https://doi.org/10.1063/5.0196736. [I.F.: 4.1], [Q1]. 

Pankaj Choudhary, Rajendra K Ray, MHD natural convection flow in a porous medium-filled corrugated enclosure: Effect of heat sources with different heights. International Journal of Thermal Sciences (Elsevier). February 2024; 196: 108673. https://doi.org/10.1016/j.ijthermalsci.2023.108673. [I.F.: 4.9] [Q1]. 

Subit K Jain, Sudeb Majee, Rajendra K Ray, On the existence and uniqueness of weak solutions of a coupled diffusion system related to image restoration. Inverse Problems and Imaging (AIMS). February 2024; 18(1): 165 182. https://doi.org/10.3934/ipi.2023027. [I.F.: 1.2] [Q2]. 

Mandira Samadder, Rajendra K Ray, Effect of discrete heating on the key parameters and entropy generation in a corrugated enclosure filled with hybrid nanofluid. Numerical Heat Transfer, Part A: Applications (Taylor & Francis). December 2023; 86(9): 2844–2865. https://doi.org/10.1080/10407782.2023.2294351. [I.F.: 2.8] [Q2] 

Pankaj., Ray, R.K., 2022. MHD Natural Convective Flow in a Porous Corrugated Enclosure: Effects of Different Key Parameters and Discrete Heat Sources. International Journal of Thermal Sciences (Elsevier) .

Pankaj., Ray, R.K., 2022. MHD Natural Convection in a Corrugated Enclosure with Discrete Isothermal Heating. Heat Transfer (Wiley) .

Kumar, A., Ray, R.K., Mittal, H.V.R., 2022. Heat transfer past a rotationally oscillating circular cylinder in linear shear flow. Journal of Heat Transfer (ASME) .

Majee, S., Ray, R.K. and Majee, A.K., 2022. A New Non-Linear Hyperbolic-Parabolic Coupled PDE Model for Image Despeckling. IEEE Transactions on Image Processing, 31, pp.1963-1977. 

Kumar, A., Ray, R.K. and Sheremet, M.A., 2022. Entropy generation on double-diffusive MHD slip flow of nanofluid over a rotating disk with nonlinear mixed convection and Arrhenius activation energy. Indian Journal of Physics, 96(2), pp.525-541. 

Kumar, A. and Ray, R.K., 2021. Shape effect of nanoparticles and entropy generation analysis for magnetohydrodynamic flow of (A l 2 O 3-C u/H 2 O) hybrid nanomaterial under the influence of Hall current. Indian Journal of Physics. 

Choudhary, P. and Ray, R.K., 2021. Numerical study on combined convection heat transfer flow problem in a porous corrugated enclosure. Heat Transfer, 51(4), pp.3279-3312. 

Ray, R.K., Haty, A. and Kumar, A., 2021. Heat transfer past rotationally oscillating circular cylinder heated with time‐periodic pulsating temperature in a uniform flow. Heat Transfer, 51(3), pp.2808-2836. 

Majee, S., Jain, S.K., Ray, R.K. and Majee, A.K., 2021. A fuzzy edge detector driven telegraph total variation model for image despeckling. Inverse Problems and Imaging (AIP)

Kumar, A., Ray, R.K. and Raha, S., 2021. Impact of inlet shear on unsteady boundary layer separation from two square cylinders in tandem arrangement. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 43(12), pp.1-24. 

Kumbhakar, M., Ray, R.K., Chakraborty, S.K., Ghoshal, K. and Singh, V.P., 2021. Mathematical modelling of streamwise velocity profile in open channels using Tsallis entropy. Communications in Nonlinear Science and Numerical Simulation, 94, p.105581. 

Mittal, H.V.R., Ray, R.K., Gadêlha, H. and Patil, D.V., 2021. A coupled immersed interface and level set method for simulation of interfacial flows steered by surface tension. Experimental and Computational Multiphase Flow, 3(1), pp.21-37.

 Kumbhakar, M., Ray, R.K., Ghoshal, K. and Singh, V.P., 2020. On the role of Tsallis entropy index for velocity modelling in open channels. Physica A: Statistical Mechanics and its Applications, 557, p.124901. 

Majee, S., Jain, S.K., Ray, R.K. and Majee, A.K., 2020. On the development of a coupled nonlinear telegraph-diffusion model for image restoration. Computers & Mathematics with Applications, 80(7), pp.1745-1766. 

Kumar, A. and Ray, R.K., 2020. A structural bifurcation analysis of flow phenomenon for shear flow past an inclined square cylinder: application to 2d unsteady separation. Fluid Dynamics, 55(3), pp.391-406. 

Jain, S.K. and Ray, R.K., 2020. Non-linear diffusion models for despeckling of images: achievements and future challenges. IETE Technical Review, 37(1), pp.66-82. 

Kumar, A. and Ray, R.K., 2020. Theoretical understanding of unsteady flow separation for shear flow past three square cylinders in vee shape using structural bifurcation analysis. Computational and Applied Mathematics, 39(3), pp.1-32. 

Majee, S., Ray, R.K. and Majee, A.K., 2020. A gray level indicator-based regularized telegraph diffusion model: application to image despeckling. SIAM Journal on Imaging Sciences, 13(2), pp.844-870. 

Kumar, A. and Ray, R.K., 2019. Structural bifurcation analysis of vortex shedding from shear flow past circular cylinder. Computational and Applied Mathematics, 38(3), pp.1-25. 

Jain, S.K., Ray, R.K. and Bhavsar, A., 2019. A nonlinear coupled diffusion system for image despeckling and application to ultrasound images. Circuits, Systems, and Signal Processing, 38(4), pp.1654-1683. 

Jain, S.K., Kumar, D., Thakur, M. and Ray, R.K., 2020. Proximal support vector machine-based hybrid approach for edge detection in noisy images. Journal of Intelligent Systems, 29(1), pp.1315-1328. 

Tyagi, S., Jain, S.K., Abbas, S., Meherrem, S. and Ray, R.K., 2018. Time-delay-induced instabilities and Hopf bifurcation analysis in 2-neuron network model with reaction–diffusion term. Neurocomputing, 313, pp.306-315. 

Mittal, H.V.R. and Ray, R.K., 2018. Solving immersed interface problems using a new interfacial points-based finite difference approach. SIAM Journal on Scientific Computing, 40(3), pp.A1860-A1883. 

Kumar, A. and Ray, R.K., Structural Bifurcation Analysis of Unsteady Flow Separation for Shear Flow Past an Array of Three Square Cylinders in Series.

Mittal, H.V.R., Al-Mdallal, Q.M. and Ray, R.K., 2017. Locked-on vortex shedding modes from a rotationally oscillating circular cylinder. Ocean Engineering, 146, pp.324-338. 

Mittal, H.V.R., Ray, R.K. and Al-Mdallal, Q.M., 2017. A numerical study of initial flow past an impulsively started rotationally oscillating circular cylinder using a transformation-free HOC scheme. Physics of Fluids, 29(9), p.093603. 

Tyagi, S., Abbas, S. and Ray, R.K., 2018. Stability and Bifurcation Analysis of Cellular Neural Networks with Discrete and Distributed Delays. Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 88(2), pp.325-337. 

Ray, R.K. and Kumar, A., 2017. Numerical study of shear rate effect on unsteady flow separation from the surface of the square cylinder using structural bifurcation analysis. Physics of Fluids, 29(8), p.083604. 

Kumar, A. and Ray, R.K., 2017, July. A numerical simulation of shear flow past two equal sized square cylinders arranged in parallel at Re= 500. In AIP conference proceedings (Vol. 1863, No. 1, p. 490003). AIP Publishing LLC. 

Mittal, H.V.R. and Ray, R.K., 2017, July. Solving moving interface problems using a higher order accurate finite difference scheme. In AIP Conference Proceedings (Vol. 1863, No. 1, p. 490002). AIP Publishing LLC. 

Mittal, H.V.R., Kalita, J.C. and Ray, R.K., 2016. A class of finite difference schemes for interface problems with an HOC approach. International Journal for Numerical Methods in Fluids, 82(9), pp.567-606. 

Ray, R.K. and Kalita, J.C., 2016. Higher-order-compact simulation of unsteady flow past a rotating cylinder at moderate Reynolds numbers. Computational and Applied Mathematics, 35(1), pp.219-250. 

Jain, S.K., Ray, R.K. and Bhavsar, A., 2015. Iterative solvers for image denoising with diffusion models: A comparative study. Computers & Mathematics with Applications, 70(3), pp.191-211. 

Kumar, A. and Ray, R.K., 2015. Numerical study of shear flow past a square cylinder at reynolds numbers 100, 200. Procedia Engineering, 127, pp.102-109. 

Mittal, H.V.R. and Ray, R.K., 2015. An HOC based immersed interface scheme for uniform flow past a circular cylinder. Procedia Engineering, 127, pp.244-249. 

Shi, Y.E., Ray, R.K. and Nguyen, K.D., 2013. A projection method-based model with the exact C-property for shallow-water flows over dry and irregular bottom using unstructured finite-volume technique. Computers & Fluids, 76, pp.178-195. 

Mittal, H.V.R. and Ray, R.K., 2013. A Transform Free Higher Order Compact Finite Difference Scheme for Simulating the Flow behind a Rotationally Oscillating Circular Cylinder at Reynolds number 500. In Applied Mechanics and Materials (Vol. 367, pp. 126-131). Trans Tech Publications Ltd. 

Ray, R.K. and Mittal, H.V.R., 2012. A Transform-Free HOC Scheme for Incompressible Viscous Flow past a Rotationally Oscillating Circular Cylinder. International Journal of Physical and Mathematical Sciences, 6(12), pp.1763-1769. 

Ray, R.K., 2011. A transformation-free HOC scheme for incompressible viscous flow past a rotating and translating circular cylinder. Journal of Scientific Computing, 46(2), pp.265-293. 

Ray, R.K. and Nguyen, K.D., 2010. An unstructured finite-volume technique for shallow-water flows with wetting and drying fronts. World Acad Sci Eng Tech, 71, pp.682-7. 

Ray, R.K. and Kalita, J.C., 2010. A transformation‐free HOC scheme for incompressible viscous flows on nonuniform polar grids. International journal for numerical methods in fluids, 62(6), pp.683-708. 

Kalita, J.C. and Ray, R.K., 2009. A transformation-free HOC scheme for incompressible viscous flows past an impulsively started circular cylinder. Journal of computational physics, 228(14), pp.5207-5236. 

Ray, R.K., Kalita, J.C. and Dass, A.K., 2007, December. An efficient HOC scheme for transient convection‐diffusion‐reaction equations with discontinuous coefficients and singular source terms. In PAMM: Proceedings in Applied Mathematics and Mechanics (Vol. 7, No. 1, pp. 1025603-1025604). Berlin: WILEY‐VCH Verlag.