MacCormack's method for advection-reaction equations

D.F. Griffiths, D.J. Higham

Research output: Contribution to journalArticlepeer-review


MacCormack's method is an explicit, second order finite difference scheme that is widely used in the solution of hyperbolic problems. Here, we consider MacCormack's method applied to the linear advection equation with nonlinear source term. Various features of the method are analysed. First, we show that the conventional implementation is not stable for Courant numbers close to one unless a small time-step is used.
Original languageEnglish
JournalComputational Fluid Dynamics Journal
Issue number1
Publication statusPublished - 2000


  • advection-reaction equations
  • mathematics
  • fluid dynamics


Dive into the research topics of 'MacCormack's method for advection-reaction equations'. Together they form a unique fingerprint.

Cite this