Initial/boundary value problems for the semidiscrete Boltzmann equation: Analysis by Adomian's decomposition method |
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Affiliation: | Dipartimento di Matematica, Politecnico di Torino, Turin, Italy;Dipartimento di Meccanica, Università di Roma 1, Rome, Italy |
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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. |
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