A Comparison of Time Discretization Schemes in the Solution of a Convection-Difussion Equation

Estaner C. Romão, Marco D. de Campos, Luiz Felipe M. de Moura


The aim of this work is to present in a didactic way a comparison of analytical and numerical solutions of a transient one-dimensional heat transfer problem. So, the solution of a parabolic equation of convection-diffusion type has been done with discretization in space by the Central Finite Difference method and in the time by five schemes: two explicit and three implicit. From the analytical and the numerical results the L2 norm and the L-infinity norm are evaluated as measures of the error. Some numerical applications are presented and discussed.

Full Text:


Asociación Argentina de Mecánica Computacional
Güemes 3450
S3000GLN Santa Fe, Argentina
Phone: 54-342-4511594 / 4511595 Int. 1006
Fax: 54-342-4511169
E-mail: amca(at)santafe-conicet.gov.ar
ISSN 2591-3522