2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 143--155.
Title: Analytical nodal methods for diffusion equations
Authors: Najib Guessous (Univ. S.M. Ben Abdellah, Fes, Morocco)
Fouzia Hadfat (Univ. S.M. Ben Abdellah, Fes, Morocco)
Abstract:
We analyze the direct analytical nodal methods of index
$l$ (ANM) and show that the corresponding mathematical methods
are equivalent to the physical methods when the components
of the matrices are calculated by generalized Radau reduced
integration. Some numerical examples applied to the diffusion
equation, show that in case $l=0$ the polynomial nodal methods
(PNM) [7] obtained better results that those of ANM.
Published October 15, 2004.
Math Subject Classifications: 74S30.
Key Words: Partial differential equations of elliptic type;
numerical analysis; diffusion equations; finite element methods.