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.