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New asymptotic expansion algorithm for singularly perturbed evolution equations
Author(s) -
Mika J.,
Eckhaus W.
Publication year - 1981
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.1670030113
Subject(s) - mathematics , asymptotic expansion , convergence (economics) , fokker–planck equation , boltzmann equation , mathematical analysis , method of matched asymptotic expansions , asymptotic analysis , partial differential equation , differential equation , physics , quantum mechanics , economic growth , economics
A new asymptotic expansion algorithm related to the Chapman‐Enskog expansion in kinetic theory is applied to systems of linear evolution equations. The uniform convergence of the asymptotic solution to the exact one is shown. The algorithm is applied to the linearized Carleman model of the Boltzmann equation, to the neutron transport equation, and to the Fokker‐Planck equation.