Asymptotic analysis of some singular perturbation problems

dc.contributor.author	Azouz, Salima
dc.contributor.author	Guesmia, Senoussi
dc.date.accessioned	2018-07-31T05:07:45Z
dc.date.available	2018-07-31T05:07:45Z
dc.date.issued	2018
dc.description.abstract	In the present work we focus on the analysis of the asymptotic behaviour of the solutions to anisotropic singular perturbation boundary value problems. A complete description of the asymptotic behaviour on the whole domain of definition is established. Two types of functions are constructed. The first type acts far away from the boundary layers to give the best possible approximation. The second one deals with the behaviour near the boundary layers to recover the complete approximation with a sharper rate of convergence. In fact, we go beyond the limit behaviour by considering the regular and the composite asymptotic expansions of arbitrary order. This allows to get an asymptotic approximation of a polynomial rate of convergence in arbitrary order or even an exponential one.	ar
dc.identifier.uri	http://hdl.handle.net/123456789/4047
dc.language.iso	en	ar
dc.publisher	université Oum-El-Bouaghi	ar
dc.subject	Singular perturbations	ar
dc.subject	Linear problems	ar
dc.subject	Boundary layers	ar
dc.title	Asymptotic analysis of some singular perturbation problems	ar
dc.type	Thesis	ar

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