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Prof. Sushree Priyadarshana

Assistant Professor Gr-II

Department of Mathematics

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Information

Room No: ALC-111 +91-870-246 sushree@nitw.ac.in Bio Sketch

    Key Notes

    • Journal(s): 15
    • Book Chapter(s): 1

    16

    PUBLICATIONS

    Research Areas

    Numerical Analysis
    Singularly Perturbed Fractional-Differential Equations
    Singularly Perturbed Integro-Differential Equations
    Singularly Perturbed PDEs
    EDUCATION QUALIFICATION
    Degree Institute Year
    Doctor of Philosophy NIT Rourkela 2024
    COURSES HANDLED
    Course L-T-P Credit Degree Level
    Algorithmic Approach to Computational Methods(MA26001) 3-0-0 3 PG
    Linear Algebra, Calculus and Ordinary Differential Equations(MA1161) 3-0-0 3 UG
    Matrix Theory and Differential Calculus(MA133) 3-0-0 3 UG
    Numerical Methods and Series Solutions(MA288) 3-0-0 3 UG
    Partial Differential Equations, Statistics and Numerical Methods(MA236) 3-0-0 3 UG
    Partial Differential Equations, Statistics and Numerical Methods(MA1263) 3-0-0 3 UG
    Statistics and Numerical Methods(MA285) 2-0-0 2 UG
    RESEARCH IDs
    ORCID
    ORC ID
    Scopus
    SCOPUS ID
    Google Scholar
    Google Scholar ID
    PUBLICATIONS
    Journal(s)
    An Improved Collocation Based Singular Resilient Numerical Scheme for Time-fractional Generalized Black-Scholes Equations Arising in Financial Derivative Market, By B. Ghosh, S. Priyadarshana and J. Mohapatra, Springer , Computational Economics, vol., pp., 2026
    A splitting based higher-order numerical scheme for 2D time-dependent singularly perturbed reaction-diffusion problems, By J. Mohapatra, L. Govindarao, S. Priyadarshana, Springer, The Journal of Supercomputing, vol.81(203), pp., 2025
    Adaptive grid based moving mesh algorithms for singularly perturbed second-order Volterra integro differential equations, By S. Priyadarshana, A. Padhan, J. Mohapatra, Taylor and Francis, Quaestiones Mathematicae, vol.48(7), pp.1007-1028, 2025
    Robust numerical schemes for time delayed singularly perturbed parabolic problems with discontinuous convection and source terms, By S. Priyadarshana, J. Mohapatra, H. Ramos, Springer International Publishing, Calcolo, vol.61(1), pp., 2024
    An efficient fractional step numerical algorithm for time-delayed singularly perturbed 2D convection-diffusion–reaction problem with two small parameters, By S. Priyadarshana, J. Mohapatra, Springer US, Numerical Algorithms, vol.97, pp.687-726, 2024
    An efficient numerical approximation for mixed singularly perturbed parabolic problems involving large time-lag, By S. Priyadarshana and J. Mohapatra, Springer , Indian Journal of Pure and Applied Mathematics, vol., pp., 2024
    An efficient computational technique for time dependent semilinear parabolic problems involving two small parameters, By S. Priyadarshana and J. Mohapatra, Springer , Journal of Applied Mathematics and Computing, vol.69, pp.3721-3754, 2023
    A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems, By S. Priyadarshana, J. Mohapatra, S. R. Pattanaik, Elsevier, Applied Numerical Mathematics, vol.189, pp.107-129, 2023
    An improved time accurate numerical estimation for singularly perturbed semilinear parabolic differential equations with small space shifts and a large time lag, By S. Priyadarshana, J. Mohapatra, S. R. Pattanaik, Elsevier, Mathematics and Computers in Simulation, vol.214, pp.183-203, 2023
    Monotone hybrid numerical method for singularly perturbed time-lagged semilinear parabolic problems, By S. Priyadarshana, Springer, National Academy Science Letters, vol.46, pp., 2023
    Uniformly convergent computational method for singularly perturbed time delayed parabolic differential-difference equations, By J. Mohapatra, S. Priyadarshana, N. Raji Reddy, Emerald Publishing, Engineering Computations, vol.40(3), pp., 2023
    Weighted variable based numerical scheme for time-lagged semilinear parabolic problems including small parameter, By S. Priyadarshana and J. Mohapatra , Springer , Journal of Applied Mathematics and Computing, vol.69, pp.2439-2463, 2023
    Asymptotic and numerical methods for solving singularly perturbed differential difference equations with mixed shifts, By S. Priyadarshana, S. R. Sahu and J. Mohapatra , Ferdowsi University of Mashhad, Iranian Journal of Numerical Analysis and Optimization, vol.12(21), pp.55-72, 2022
    Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters, By S. Priyadarshana, J. Mohapatra, S. R. Pattanaik, Springer , Computational and Applied Mathematics, vol.41(233), pp., 2022
    An efficient uniformly convergent numerical scheme for singularly perturbed semilinear parabolic problems with large delay in time, By S. Priyadarshana, J. Mohapatra, L. Govindrao,, Springer, Journal of Applied Mathematics and Computing, vol.68, pp.2617–2639, 2022
    Book Chapter(s)
    Robust Numerical Methods for Time-Delayed Semilinear Parabolic Problems with a Small Parameter Arising in Fluid Dynamics By Sushree Priyadarshana and Jugal Mohapatra in Complex Engineering Systems–Modeling and Optimization: Multi-Objective Analysis and Smart Manufacturing Applications, Walter de Gruyter GmbH and Co KG, NA, 2026
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    RESEARCH FELLOWS / PhD STUDENTS
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     Last updated on January 25, 2026