Numerical solution of reactive-diffusive systems

Abstract

Two implicit procedures, a finite element method, an implicit predictor-corrector technique and three methods of lines have been employed to study the propagation of a one-dimensional wave governed by a reaction-diffusion equation. Comparisons amongst the methods are presented in terms of the L ²-norm errors and computed wave speeds. The calculations have been performed with different numerical grids in order to determine the effects of the temporal and spatial step sizes on the accuracy. It is shown that a fourth-order accurate, in both space and time, method of lines yields the most accurate results. The numerical calculations are also compared with those reported in Part 1.

Keywords:

• Methods of lines
• implicit schemes
• reaction-diffusion equations

C.R. Categories::

• CR: G.l.O
• AMS(M0S)
• 65605