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Numerical analysis of coupling for a kinetic equation

Published online by Cambridge University Press:  15 August 2002

Moulay Tidriri
Moulay Tidriri*
Affiliation:
Department of Mathematics, Iowa State University, Ames, IA 50011-2064, USA. tidriri@iastate.edu.
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Abstract

In this paper we introduce a coupled systems of kinetic equations for the linearized Carleman model. We then study the existence theory and the asymptotic behaviour of the resulting coupled problem. In order to solve the coupled problem we propose to use the time marching algorithm. We then develop a convergence theory for the resulting algorithm. Numerical results confirming the theory are then presented.

Keywords

Asymptotic behaviourCarleman equationscoupling of kinetic equationstime marching algorithm.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 33 , Issue 6 , November 1999 , pp. 1121 - 1134
Copyright
© EDP Sciences, SMAI, 1999

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