Abstract
The study discusses the numerical solution for a time fractional Burgers’ equation using explicit (scheme 1) and implicit scheme (scheme 2), respectively. The approximation of the differential equation is discretized using the finite difference method (FDM). A non-linear term present in the Burgers’ equation is approximated using the time-averaged values. The Von-Neumann analysis shows that the Scheme 1 is conditionally stable and Scheme 2 is unconditionally stable. The numerical solutions are compared with the exact solutions and are good in agreement. Also, the error is estimated between exact and numerical solutions.
Recommended Citation
Doley, Swapnali; Kumar, A. Vanav; and Jino, L.
(2022).
(SI10-067) Numerical Study of the Time Fractional Burgers’ Equation by Using Explicit and Implicit Schemes,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 17,
Iss.
3, Article 8.
Available at:
https://digitalcommons.pvamu.edu/aam/vol17/iss3/8