Time-splitting procedures for the numerical solution of the 2d advection-diffusion equation

A. R. Appadu, H. H. Gidey

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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 L 1 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.

Original languageEnglish
Article number634657
JournalMathematical Problems in Engineering
Publication statusPublished - 2013

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Engineering


Dive into the research topics of 'Time-splitting procedures for the numerical solution of the 2d advection-diffusion equation'. Together they form a unique fingerprint.

Cite this