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A decoupled algorithm for a drift‐diffusion model
Author(s) -
Abouchabaka Jaafar,
Aboulaïch Rajae,
Nachaoui Abdeljalil,
Souissi Ali
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.613
Subject(s) - mathematics , convergence (economics) , diffusion , algorithm , boundary (topology) , mesfet , order (exchange) , mathematical analysis , transistor , voltage , physics , field effect transistor , finance , economics , thermodynamics , economic growth , quantum mechanics
This paper suggests a decoupled method in order to approximate a free boundary separating the depletion region and the charge neutrality region in a field effect transistor of MESFET type. In order to do that, a simplified drift‐diffusion model is used. A decoupled algorithm is presented in ( Math. Comput. Simulat. 1998; 47 (6):531–539). In this work an existence theorem is proved, and the study of the convergence of the previous algorithm is presented with some numerical results. Copyright © 2005 John Wiley & Sons, Ltd.