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  1. No Access

    Article

    An Approximation Method for Stochastic Heat Equation Driven by White Noise

    This paper deals with the study of a class of stochastic heat equation using the operational matrix of integration and stochastic integration based on two-dimensional shifted Legendre polynomials. The characte...

    D. Uma, H. Jafari, S Raja Balachandar… in International Journal of Applied and Compu… (2022)

  2. No Access

    Article

    An approximate solution for stochastic Burgers’ equation driven by white noise

    This paper proposes an approximate solution based on two-dimensional shifted Legendre polynomials, together with its operational matrices of integration and stochastic integration for solving stochastic Burger...

    D. Uma, H. Jafari, S. Raja Balachandar… in Computational and Applied Mathematics (2022)

  3. No Access

    Article

    Effects of Variable Viscosity and Internal Heat Generation on Rayleigh–Bénard Convection in Newtonian Dielectric Liquid

    The onset of Rayleigh–Bénard convection of variable-viscosity Newtonian dielectric liquid confined between two parallel plates is subject to free-free isothermal boundary condition. The combined and individual...

    Bhavya Shivaraj, P. G. Siddheshwar, D. Uma in International Journal of Applied and Compu… (2021)

  4. No Access

    Article

    Effects of variable viscosity and temperature modulation on linear Rayleigh-Bénard convection in Newtonian dielectric liquid

    The linear Rayleigh-Bénard electro-convective stability of the Newtonian dielectric liquid is determined theoretically subject to the temperature modulation with time. A perturbation method is used to compute ...

    P. G. Siddheshwar, D. Uma, S. Bhavya in Applied Mathematics and Mechanics (2019)