A decoupled algorithm for a drift‐diffusion model | Zendy

Abouchabaka Jaafar | Zendy; Aboulaïch Rajae | Zendy; Nachaoui Abdeljalil | Zendy; Souissi Ali | Zendy

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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.

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