A. K. Rath, I. Nayak and S. Padhi, Transient Magnetohydrodynamic Heat and Mass Transfer Analysis of Chemically Reacting Fluid Flow over Oscillatory Permeable Media, International Journal of Modern Physics B [Index: WoS; Impact Factor: 2.02 ] Dr. Sukanya Padhi
Sukanya Padhi and Itishree Nayak, Prediction of flow and thermal criticality of unsteady EMHD second grade fluid through exponentially accelerated vertical porous plates, European Physical Journal plus [Index: WoS; Impact Factor: 2.89 ] Dr. Sukanya Padhi
Sukanya Padhi and Itishree Nayak, Unsteady EMHD free convective second grade fluid flow past an exponentially accelerated vertical porous plate, Numerical heat Transfer: Part B, Fundametals [Index: WoS; Impact Factor: 1.4 ] Dr. Sukanya Padhi
S. Patel, B. L. Panigrahi, Discrete Legendre spectral projection-based methods for Tikhonov regularization of first kind Fredholm integral equations, Applied Numerical Mathematics, 198, 75-93, 2024 [Index: WoS; Impact Factor: 2.8 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
S. Patel, B. L. Panigrahi, G. Nelakanti, Multi-projection methods for Fredholm integral equations of the first kind, International Journal of Computer Mathematics, 100(4), 722-744, 2023 [Index: WoS; Impact Factor: 1.8 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
S. Patel, B. L. Panigrahi, Jacobi Spectral Projection Methods for Fredholm Integral Equations of the First Kind, Numerical Algorithms [Index: WoS; Impact Factor: 2.1 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
S. Patel, B. L. Panigrahi, G. Nelakanti, Legendre Spectral Projection methods for Fredholm integral equations of First Kind, Journal of Inverse and Ill-posed Problems, 30(5), 677-691, 2022 [Index: WoS; Impact Factor: 1.1 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, Combined Legendre Spectral Finite element methods for two-dimensional Fredholm integral equations of the second kind, Numerical Functional Analysis and Optimization, 43(16), 1801-1820, 2022 [Index: WoS; Impact Factor: 1.2 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, Mixed Fourier Legendre spectral Galerkin methods for two-dimensional Fredholm integral equations of the second kind, Applied Numerical Mathematics, 168 (2021) 235–250 [Index: WoS; Impact Factor: 2.8 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, M. Manadal, G. Nelakanti, Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem, Journal of Computational and Applied Mathematics, 346 224-236, 2019. [Index: WoS; Impact Factor: 2.4 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, Error analysis of Jacobi spectral collocation methods for Fredholm-Hammerstein integral equations with weakly singular kernel, International Journal of Computer Mathematics, 96(6), 1230–1253, 2019 [Index: WoS; Impact Factor: 1.8 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, Hybrid collocation methods for eigenvalue problem of a compact integral operator with weakly singular kernel, Applied Mathematics and Computation, 328 (2018) 353-364 [Index: WoS; Impact Factor: 4 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, G. Long, G. Nelakanti, Legendre multi-projection methods for eigenvalue problem of a compact integral operator. Journal of Computational and Applied Mathematics 239 (2013) 135—151 [Index: WoS; Impact Factor: 2.4 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, G. Nelakanti, Legendre Galerkin method for weakly singular Fredholm integral equations and the corresponding eigenvalue problem. Journal of Applied Mathematics and Computing 43 (2013) 175--197. [Index: WoS; Impact Factor: 2.2 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, P.D.Srivastava, Spectrum and fine Spectrum of generalized second order difference operator Delta^2_{uvw} on sequence space l_1. Demonstratio Mathematica 55 (2012) 593--609 [Index: WoS; Impact Factor: 2.0 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, G. Nelakanti, Richardson extrapolation of iterated discrete Galerkin method for eigenvalue problem of a two dimensional compact integral operator. Journal of Scientific Computing 51 (2012) 421--448. [Index: WoS; Impact Factor: 2.5 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, P.D.Srivastava, Spectrum and fine Spectrum of generalized second order difference operator Delta^2_{uv} on sequence space c_0. Thai Journal of Mathematics 9 (2011) 57—74 [Index: WoS; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, G. Nelakanti, Wavelet Galerkin Method for eigenvalue problem of a compact integral operator. Applied Mathematics and Computation 218 (2011) 1222--1232 [Index: WoS; Impact Factor: 4 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, G. Nelakanti, Super-convergence of Legendre projection methods for eigenvalue problem of a compact integral operator. Journal of Computational and Applied Mathematics 235 (2011) 2380--2391. [Index: WoS; Impact Factor: 2.4 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
G. Long, G. Nelakanti, B. L. Panigrahi, M. M. Sahani, Discrete multi-projection methods for eigen-problems of compact integral operators. Applied Mathematics and Computation 217 (2010) 3974--3984. [Index: WoS; Impact Factor: 4 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
A Patra, P Baliarsingh, H Dutta, "Solution to fractional evolution equation using Mohand transform", Mathematics and Computers in Simulation 200, 557-570. [Index: WoS; Impact Factor: 4.6 ] Dr. Ashrita Patra
S. Saha Ray and A. Patra, 2013, “Numerical Solution of Fractional Stochastic Neutron Point Kinetic Equation for Nuclear Reactor Dynamics”, Annals of Nuclear Energy(Elsevier), Vol. 54, pp. 154-161. [Index: WoS; Impact Factor: 1.9 ] Dr. Ashrita Patra
S. Saha Ray and A. Patra, 2013, “Haar wavelet operational methods for the numerical solutions of Fractional order nonlinear oscillatory Van der Pol system”, Applied Mathematics and Computation(Elsevier),Vol. 220, No. 1, pp. 659-667. [Index: WoS; Impact Factor: 3.5 ] Dr. Ashrita Patra
S. Saha Ray and A. Patra, 2014.“Numerical Simulation Methods for Solving Fractional Neutron Point Kinetic Equations using Multi-step Differential Transform Method”, PhysicaScripta, 89, pp. 015204(8pp). [Index: WoS; Impact Factor: 1.9 ] Dr. Ashrita Patra
A. Patra and S. Saha Ray, 2014, “A Numerical Approach based on Haar wavelet operational method to solve Neutron Point Kinetics Equation involving Imposed Reactivity Insertions”, Annals of Nuclear Energy, Vol. 68, pp. 112-117. [Index: WoS; Impact Factor: 1.9 ] Dr. Ashrita Patra
A. Patra and S. Saha Ray, 2014,“Homotopy Perturbation Sumudu Transform Method for solving convective radial fins with temperature-dependent thermal conductivity of Fractional order Energy balance equation”, International Journal of Heat and Mass transfer,76, 162-170 [Index: WoS; Impact Factor: 5 ] Dr. Ashrita Patra
A Patra and S. Saha Ray, 2014“Numerical simulation based on Haar wavelet operational method to solve neutron point kinetic equation involving pulse and sinusoidal reactivity”, Annals of Nuclear Energy, 73, pp. 408-412. [Index: WoS; Impact Factor: 1.9 ] Dr. Ashrita Patra
S. Saha Rayand A. Patra. 2014,“Numerical Simulation for Fractional order Stationary Neutron Transport Equation using Two-dimensional Haar wavelet Collocation method”, Nuclear Engineering and Design, 278, pp. 71-85. [Index: WoS; Impact Factor: 1.9 ] Dr. Ashrita Patra
A. Patra and S. Saha Ray. 2014,“Two-dimensional Haar wavelet Collocation method for the solution of Stationary Neutron Transport Equation in a Homogeneous Isotropic medium”, Annals of Nuclear Energy 70, pp. 30-35. [Index: WoS; Impact Factor: 2.1 ] Dr. Ashrita Patra
A. Patra and S. Saha Ray, 2015, “On the Solution of Nonlinear Fractional Neutron Point Kinetics Equation with Newtonian Temperature feedback reactivity”, Nuclear Technology,189 (1), pp. 103-109. [Index: WoS; Impact Factor: 1.5 ] Dr. Ashrita Patra
A. Patra and S. Saha Ray, 2016, “Analysis for fin efficiency of convective straight fins with temperature-dependent Thermal Conductivity of Fractional order Energy balance equation Using Homotopy Perturbation Sumudu Transform Method”, Alexandria Engineering Journal, 55, pp. 77-85. [Index: WoS; Impact Factor: 6.2 ] Dr. Ashrita Patra
A. Patra and S. Saha Ray, 2016, “Numerical Solution of Simplified Stochastic Point Kinetic equations involving pulse and step reactivity”, International Journal of Engineering and Technology, 10(4), pp. 313-322. [Index: WoS; Impact Factor: 0.8 ] Dr. Ashrita Patra
Sukanya Padhi and Itishree Nayak, Variable viscosity effects on unsteady MHD reactive third grade fluid with asymmetric convective cooling within porous Couette device, International Journal of Ambient Energy [Index: Scopus; Impact Factor: 2.67 ] Dr. Sukanya Padhi
Sukanya Padhi and Itishree Nayak, Numerical Study of Unsteady MHD Second Grade Fluid Flow and Heat Transfer Within Porous Channel, International Journal of Applied and Computational Mathematics [Index: Scopus; Impact Factor: 2.13 ] Dr. Sukanya Padhi
S. Patel, B. L. Panigrahi, G. Nelakanti, Legendre spectral multi-projection methods for Fredholm integral equations of the first kind, Advances in Operator Theory, 7(4), 1-22, 2022 [Index: Scopus; Impact Factor: 0.8 ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, J. K. Malik, Chebyshev spectral projection methods for Two-dimensional Fredholm integral equations of second kind, International Journal of Applied and Computational Mathematics, 7(70), 1-22, 2021. [Index: Scopus; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
S. Patel, B. L. Panigrahi, Legendre spectral projection methods for Hammerstein integral equations of mixed type, The Journal of Analysis, 28, 387-413, 2020. [Index: Scopus; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, Legendre spectral projection methods for Hammerstein integral equations with weakly singular kernel, International Journal of applied and Computational Mathematics, 4, 143 (2018). [Index: Scopus; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, Galerkin methods for eigenvalue problem of an integral operator with logarithmic kernel, The Journal of Analysis, 25 (2) 235--251, 2017. [Index: Scopus; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
A. Patra, P. Baliarsingh, L. Nayak, "A remark on the spectrum of fractional difference operator, Linear and Multilinear Algebra 72 (1), 50-58. [Index: Scopus; Impact Factor: 1.1 ] Dr. Ashrita Patra
T Pasayat, A Patra, M Sahoo, "Fractional sight analysis of generalized perturbed Zakharov–Kuznetsov equation using Elzaki transform", Japan Journal of Industrial and Applied Mathematics 41 (1), 503-519. [Index: Scopus; Impact Factor: 0.9 ] Dr. Ashrita Patra
T Pasayat, A Patra, "Solution of Fractional Order Foam Drainage Equation Using Shehu Transform", International workshop of Mathematical Modelling, Applied Analysis and Computation, pp. 317-331. [Index: Scopus; Impact Factor: ] Dr. Ashrita Patra
S. Saha Ray and A. Patra, 2011, “Application of Modified decomposition method and Variational Iteration Method for the solution of the one group neutron diffusion equation with fixed source”, Int. Journal of Nuclear Energy Science and Technology(Inderscience), Vol. 6, No. 4 [Index: Scopus; Impact Factor: 0.8 ] Dr. Ashrita Patra
S. Saha Ray and A. Patra, 2012, “An Explicit Finite Difference Scheme for numerical solution of fractional neutron point kinetic equation”, Annals of Nuclear Energy(Elsevier), Vol. 41, pp. 61-66. [Index: Scopus; Impact Factor: 1.9 ] Dr. Ashrita Patra
S. Saha Ray and A. Patra, 2012, “Numerical Solution for Stochastic Point Kinetics Equations with Sinusoidal Reactivity in Dynamical System of Nuclear Reactor”, Int. Journal of Nuclear Energy Science and Technology(InderScience), Vol. 7, No. 3, 231-242. [Index: Scopus; Impact Factor: 0.8 ] Dr. Ashrita Patra
A. Patra and S. Saha Ray, 2013, “Multi-step Differential Transform method for Numerical Solution of Classical Neutron Point Kinetic Equation”, Computational Mathematics and Modeling(Springer), Vol. 24, No. 4, 604-615 [Index: Scopus; Impact Factor: 0.7 ] Dr. Ashrita Patra
A. Patra and S. Saha Ray, 2014, “The Effect of Pulse Reactivity for Stochastic Neutron Point Kinetics Equation in Nuclear Reactor Dynamics”, Int. Journal of Nuclear Energy Science and Technology(Inderscience),Vol. 8, No. 2, pp. 117-130. [Index: Scopus; Impact Factor: 0.8 ] Dr. Ashrita Patra
A. Patra, T.T. Shone, B.B. Mishra, 2018, “Natural Decomposition Approximation Solution for first order Nonlinear Differential Equations”, International Journal of Engineering and Technology, 7, pp. 442-445. [Index: Scopus; Impact Factor: 0.8 ] Dr. Ashrita Patra
T.T. Shone, Ashrita Patra, 2019, “Solution for Nonlinear Fractional Partial Differential equations using Fractional Complex Transform”, International Journal of Applied and Computational Mathematics, 5, pp.1-8. [Index: Scopus; Impact Factor: 1.25 ] Dr. Ashrita Patra
T.T. Shone, A. Patra , B.B. Mishra, “Numerical Solution based solution of nonlinear Volterra integral equations using integral equationsusing Laplace Decomposition method”, AIP Conference Proceedings, Vol. 2214, 020019, 2020 [Index: Scopus; Impact Factor: ] Dr. Ashrita Patra
T.T. Shone, A. Patra , B.B. Mishra, 2020, Solution of Nonlinear fractional Quadratic Riccati Differential equations using Perturbation Method, International Journal of Applied and Computational Mathematics, 88, pp. 1-11. [Index: Scopus; Impact Factor: 1.25 ] Dr. Ashrita Patra
M. Sahoo and A. Patra, 2021, Modified Decomposition Method Based on Natural Transform for Solving Nonlinear Differential Equations Using Newton–Raphson Scheme, Int. J. Appl. Comput. Math 7:91, pp.1-15. [Index: Scopus; Impact Factor: 1.25 ] Dr. Ashrita Patra
Sukanya Padhi and Itishree Nayak, Analysis of Electro-MHD of third grade fluid flow through porous channel, European Journal of Pure and Applied Mathematics [Index: Scopus; Impact Factor: 1 ] Dr. Sukanya Padhi
J. K. Malik, B. L. Panigrahi, Jacobi spectral Galerkin methods for the eigenvalue problem of a compact integral operator, Acta Universitatis Apulensis, 61, 91-108, 2020. [Index: UGC; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
J. K. Malik, B. L. Panigrahi, Discrete Chebyshev spectral projection methods for two dimensional Fredholm integral equations of the second kind, Journal of advanced Mathematical Studies, 13(1) 11-27, 2020 [Index: UGC; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
J. K. Malik, B. L. Panigrahi, Discrete Legendre projection methods for the Fredholm integral equations of the second kind, Indian Journal of Industrial and Applied Mathematics, 10 (2019) 38-50. [Index: UGC; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, Discrete Legendre multi-projection methods for Fredholm integral equations of the second kind and the corresponding eigenvalue problem, Communications in Numerical Analysis, 2018(2), (2018) 154-172. [Index: UGC; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, J. K. Mailk, Discrete Legendre projection methods for the eigenvalue problem of a compact integral operator. Journal of Computer Science & Computational Mathematics, Volume 6, Issue 4, (2016), 81-89 [Index: UGC; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, Singularity preserving collocation methods for weakly singular Fredholm integral equations and the corresponding eigenvalue problem, International Journal of Convergence Computing, 2(3/4) 249—268, 2016. [Index: UGC; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
B. L. Panigrahi, G. Nelakanti, Richardson extrapolation of iterated discrete collocation method for eigenvalue problem of a two dimensional compact integral operator. Journal of Applied Mathematics and Informatics 32 (2014) 567--584. [Index: UGC; Impact Factor: ] Prof.(Dr.) Bijaya Laxmi Panigrahi
Six Variable Generalization of Reciprocity Theorem Found in Ramanujan’s Lost Note- book [Index: UGC; Impact Factor: ] Dr. Yudhisthira Jamudulia
On Some Circular Summation Formulas for Theta Functions [Index: UGC; Impact Factor: ] Dr. Yudhisthira Jamudulia
S. Saha Ray and A. Patra, 2011, “Application of Homotopy Analysis Method and Adomian Decomposition Method for the Solution of Neutron Diffusion Equation in the Hemisphere and Cylindrical Reactors”, Journal of Nuclear Engineering and Technology (STM), Vol. 1, Issue 2-3, pp. 1-12. [Index: UGC; Impact Factor: ] Dr. Ashrita Patra
An Interesting q-Continued Fractions of Ramanujan [Index: Other; Impact Factor: ] Dr. Yudhisthira Jamudulia
A Note on Explicit Evaluation of Ramanujan’s Cubic Continued Fraction using Theta Function Identities [Index: Other; Impact Factor: ] Dr. Yudhisthira Jamudulia
An Analogue of Ramanujan’s Remarkable Product of Theta-Functions and its Applications [Index: Other; Impact Factor: ] Dr. Yudhisthira Jamudulia
[Index: ; Impact Factor: ] Ms. LAXMI MAJHI
National Publications
On a Continued Fraction Identity from Ramanujan’s Notebook [Index: Other; Impact Factor: ] Dr. Yudhisthira Jamudulia
A. K. Rath, I. Nayak and S. Padhi, Numerical Investigation of unsteady flow and heat transfer of a free convective second grade fluid passing through exponentially accelerated vertical porous plate, Multidisciplinary Journal of Engineering Sciences [Index: Other; Impact Factor: ] Dr. Sukanya Padhi