AN ELLIPTIC EQUATION IN A DOMAIN WITH PERTURBED BOUNDARY

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dc.contributor.authorBENTATA, FATIMA EZAHRA
dc.date.accessioned2020-10-27T13:56:57Z
dc.date.available2020-10-27T13:56:57Z
dc.date.issued2020
dc.description.abstractWe consider the Laplace equation, with different boundary conditions, on a planar domain defined as a disc with a small perturbation of its boundary. First, we find an asymptotic solution in the interior of the disc using two analytical methods: separations of variables and Laplace’s formula. A third approach consists in combining the asymptotic approach with finited ifferences in polar coordinates. Some numerical examples are given at the end of this work.en_US
dc.identifier.urihttps://repository.univ-msila.dz/handle/123456789/20083
dc.language.isoenen_US
dc.publisherFaculty of Mathematics and computer sciences Department of Mathematics - Option : PDEs and applicationsen_US
dc.subjectLaplace’s equation, separation of variable, Poisson’s formula, finite difference in polar coordinates, perturbed domainsen_US
dc.titleAN ELLIPTIC EQUATION IN A DOMAIN WITH PERTURBED BOUNDARYen_US
dc.typeThesisen_US

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