TY - JOUR
A2 - Khan, Waqar
AU - Appadu, A. R.
AU - Gidey, H. H.
PY - 2013
DA - 2013/11/17
TI - Time-Splitting Procedures for the Numerical Solution of the 2D Advection-Diffusion Equation
SP - 634657
VL - 2013
AB - We perform a spectral analysis of the dispersive and dissipative properties of two time-splitting procedures, namely, locally one-dimensional (LOD) Lax-Wendroff and LOD (1, 5) [9] for the numerical solution of the 2D advection-diffusion equation. We solve a 2D numerical experiment described by an advection-diffusion partial differential equation with specified initial and boundary conditions for which the exact solution is known. Some errors are computed, namely, the error rate with respect to the L1 norm, dispersion and dissipation errors. Lastly, an optimization technique is implemented to find the optimal value of temporal step size that minimizes the dispersion error for both schemes when the spatial step is chosen as 0.025, and this is validated by numerical experiments.
SN - 1024-123X
UR - https://doi.org/10.1155/2013/634657
DO - 10.1155/2013/634657
JF - Mathematical Problems in Engineering
PB - Hindawi Publishing Corporation
KW -
ER -