Pramod Kumar
Babasaheb Bhimrao Ambedkar University
10 Papers
45 Citations
Pramod Kumar is an academic researcher from Babasaheb Bhimrao Ambedkar University. The author has contributed to research in topics: Quadrature (mathematics) & Tridiagonal matrix algorithm. The author has an hindex of 7, co-authored 10 publications.
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Papers
FRDTM for numerical simulation of multi-dimensional, time-fractional model of Navier–Stokes equation
Brajesh Kumar Singh,Pramod Kumar +1 more
TL;DR: In this article, a new approximate solution of time-fractional order multi-dimensional Navier-Stokes equation is obtained by adopting a semi-analytical scheme: "Fractional Reduced Differential Transformation Method (FRDTM)".
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A note on solving the fourth-order Kuramoto-Sivashinsky equation by the compact finite difference scheme
TL;DR: In this paper, the authors proposed a compact finite difference scheme in the space and the optimal four-stage, order three strong stability-preserving time-stepping Runge-Kutta (SSP-RK43) scheme, in time for computation of one dimensional Kuramoto-Sivashinsky equation (KSE).
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Extended Fractional Reduced Differential Transform for Solving Fractional Partial Differential Equations with Proportional Delay
Brajesh Kumar Singh,Pramod Kumar +1 more
TL;DR: In this paper, the authors proposed an approximate analytic solution of the generalized Burgers equations with proportional delay obtained by employing extended reduced differential transform (EDT) for solving the initial value autonomous system of time fractional partial differential equations (TFPDEs).
17
Homotopy Perturbation Method for Solving Time Fractional Coupled Viscous Burgers’ Equation in $$(2+1)$$ ( 2 + 1 ) and $$(3+1)$$ ( 3 + 1 ) Dimensions
TL;DR: In this article, an approximate analytical solution of multi-dimensional, time-fractional coupled viscous Burgers' equation obtained by employing "homotopy perturbation method" where fractional derivative is of Caputo type.
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Homotopy perturbation transform method for solving fractional partial differential equations with proportional delay
Brajesh Kumar Singh,Pramod Kumar +1 more
- 01 Mar 2018
TL;DR: In this paper, the implementation of homotopy perturbation transform method (HPTM) for numerical computation of initial valued autonomous system of time-fractional partial differential equations (TFPDEs) with proportional delay was presented.
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