Najib Guessous, Fouzia Hadfat
Abstract:
We analyze the direct analytical nodal methods of index
(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
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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