2004-Fez conference on Differential Equations and Mechanics. Electron. J. Diff. Eqns., Conference 11, 2004, pp. 143--155.

Analytical nodal methods for diffusion equations

Najib Guessous, Fouzia Hadfat

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.

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  Najib Guessous
Département de mathématiques et Informatique
Faculté des sciences Dhar-Mehraz
Université S.M. Ben Abdellah
B.P. 1796 Fès-Atlas, Fès, Morocco
email: ngessous@yahoo.fr
Fouzia Hadfat
Département de mathématiques et Informatique
Faculté des sciences Dhar-Mehraz
Université S.M. Ben Abdellah
B.P. 1796 Fès-Atlas, Fès, Morocco
email: fhadfat@yahoo.fr

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