Dr. Kushal Dhar Dwivedi

Dr. Kushal Dhar Dwivedi, PhD

Assistant Professor (Grade-II),

Department of Sciences,

IIITDM Kurnool.

Email: kddwivedi [at] iiitk.ac.in | Contact Number: 9838438616



Academic Qualifications

  • Ph.D. in Fractional differential equations and Numerical Analysis  from IIT (BHU) , Varanasi, India

Areas of Interest

  • Fractional Differential Equation and Numerical Method.

Professional / Teaching Experience

  • Assistant Professor (Grade II) from 11 December 2022 in Department of Sciences, IIITDM Kurnool 

  • Assistant Professor from December,  2019 to December, 2023 in Shri Neelkantheswar Govt. Post Graduate College, M. P, India

Awards/

  • All India rank 48, June 2016 JRF/NET

  • Gate Score 413 and AIR 318, March 2016.

Important Publications

  1. Kushal Dhar Dwivedi, Rajeev, S. Das, D. Baleanu, “Numerical Solution of Nonlin-ear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation”, Journal of Computational and Nonlinear Dynamics, (ASME), 15(2020)061005.

  2. Kushal Dhar Dwivedi, Rajeev, S. Das, “Fibonacci Collocation Method to solve two-dimensional nonlinear fractional order advection-reaction diffusion equation”, Special Topics & Reviews in Porous Media: An International Journal, (Begel House), 10(2019)569-584.

  3. Kushal Dhar Dwivedi, S. Das, Rajeev, D. Baleanu, “Numerical solution of highly non-linear fractional order reaction advection diffusion equation using cubic B-spline collocation method”, International Journal of Nonlinear Sciences and Numerical Simulation, (De Gruyter)(2021) doi.org/10.1515/ijnsns-2020-0112.

  4. Kushal Dhar Dwivedi, S. Das, “Numerical solution of the nonlinear diffusion equation by using non-standard/standard finite difference and Fibonacci collocation methods”, The European Physical Journal Plus, (Springer), 134(2019)608.

  5. Kushal Dhar Dwivedi, Rajeev, S. Das, J.F. Gomez-Aguilar, “Finite difference /collocation method to solve multi term variable-order fractional reaction-advection-diffusion equation in heterogeneous medium”, Numerical Methods for Partial Differ-ential Equations, (Wiley), 37(2020)2031-2045.

  6. Kushal Dhar Dwivedi, Rajeev, “Numerical solution of fractional order advection

reaction diffusion equation with Fibonacci neural network”, Neural Processing Letters, (Springer), 53(2021)2687–2699.

  1. Kushal Dhar Dwivedi, Jagdev Singh, “Numerical solution of two-dimensional fractional-order reaction advection sub-diffusion equation with finite-difference Fi-bonacci collocation method”, Mathematics and Computers in Simulation, (Elsevier),181(2021)38-50.

  2. Anup Singh Kushal Dhar Dwivedi, Subir Das, Seng-Huat Ong, “Study of one-dimensional space-time fractional-order Burgers-Fisher and Burgers-Huxley fluid models”, Mathematical Methods in the Applied Sciences, (Wiley), 44(2021)2455-2467.

  3. Mohd Kashif, Kushal Dhar Dwivedi, T Som, “Numerical solution of coupled type Fractional order Burgers’ equation using Finite Difference and Fibonacci Collocation Method”, Chinese Journal of Physics, (Elsevier), 2022.

  4. Kushal Dhar Dwivedi, JF G ́omez-Aguilar, “An efficient numerical method to solve ordinary differential equations using Fibonacci neural networks”, Computational and Applied Mathematics,(Springer International Publishing), 42(2023).

Conferences

  1. Presented a research article in ”International Conference on Engineering, Computer and Natural Science”.

Courses Handled

  • Calculus

  • Real Analysis,

  • Differential Equation.

  • Complex Analysis,

  • Functional Analysis