TY - JOUR
T1 - A New Compact Scheme in Exponential Form for Two-Dimensional Time-Dependent Burgers' and Navier-Stokes Equations
AU - Mohanty , R.K.
AU - Yuan , Li
AU - Sharma , Divya
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 437
EP - 454
PY - 2020
DA - 2020/06
SN - 10
DO - http://doi.org/10.4208/eajam.141119.110220
UR - https://global-sci.org/intro/article_detail/eajam/16976.html
KW - Compact scheme in exponential form, two-level implicit scheme, Burgers’ equation,
Navier-Stokes equations of motion, Taylor-vortex problem.
AB - <p style="text-align: justify;">A new compact implicit exponential scheme for Burgers&#39; and Navier-Stokes
equation is developed. The method has fourth order accuracy in space and second order
accuracy in time. It uses only two time levels for computation and requires nine grid
points at each time level. The stability of the method is proven for linearised Burgers&#39; equation. It is applied to a modified Taylor vortex problem. Numerical examples confirm
the theoretical results and show the accuracy of the method.</p>