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doi:10.1016/0022-247X(87)90219-8 
Copyright © 1987 Published by Elsevier Inc.
Initial/boundary value problems for the semidiscrete Boltzmann equation: Analysis by Adomian's decomposition method
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N. Bellomo and L. de Socio
Received 18 April 1986.
Submitted by G. Adomian
Available online 9 July 2004.
Abstract
This paper provides a solution technique based on Adomian's decomposition method for a large class of initial/boundary value problems for the semidiscrete Boltzmann equation: a partial differential-integral equation of a semilinear type, in the kinetic theory of gases. The paper also proposes a use of the decomposition method as an algorithm for the continuous approximation of the solutions in a discretized time-space domain.
