A class of methods for diffusion-convection equations

Abstract

A class of method with a free parameter(s) is considered for the solution of the diffusion–convection equation. This class is obtained using interpolation function approach and so, some classic methods appears when s take specific values. In order to obtain a non–oscillatory numerical solution some restrictions will be placed on s. Choosing two suitable methods of that class, an algorithm will be established and computational requirements will be considered

Keywords:

• Finite difference
• diffusion–convection

AMS(MOS)::

• 65M10

^*Supported by JNICT – Project no.87/191 – and CMUC/INIC

^*Supported by JNICT – Project no.87/191 – and CMUC/INIC

Notes

^*Supported by JNICT – Project no.87/191 – and CMUC/INIC