Please use this identifier to cite or link to this item: https://scholarhub.balamand.edu.lb/handle/uob/3841
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dc.contributor.advisorSabat, Miraen_US
dc.contributor.authorYaacoub, Samaren_US
dc.date.accessioned2020-12-23T14:38:43Z-
dc.date.available2020-12-23T14:38:43Z-
dc.date.issued2019-
dc.identifier.urihttps://scholarhub.balamand.edu.lb/handle/uob/3841-
dc.descriptionIncludes bibliographical references (p. 50-51).en_US
dc.descriptionSupervised by Dr. Mira Sabat.en_US
dc.description.abstractWe consider the finite element Galerkin method to solve the one-dimensional advection diffusion equation with homogeneous Dirichlet conditions. We start by introducing the method for the steady heat equation and then we present the Petrov-Galerkin modifications associated with the addition of an advection term. As last step, we discuss some techniques used to deal with the introduction of a time-dependent derivative. An in-house code is written in C++ to model the equations leading to the full advection diffusion equation. An example is considered for each one of the 3 cases and the numerical solution obtained from the code is plotted along with the exact solution. The post processing is done in Matlab.en_US
dc.description.statementofresponsibilityby Samar Yaacouben_US
dc.format.extentvii, 54 p. :ill., ;30 cmen_US
dc.language.isoengen_US
dc.rightsThis object is protected by copyright, and is made available here for research and educational purposes. Permission to reuse, publish, or reproduce the object beyond the personal and educational use exceptions must be obtained from the copyright holderen_US
dc.subject.lcshGalerkin methodsen_US
dc.titleGalerkin methods for one-dimensional advection diffusion equationen_US
dc.typeProjecten_US
dc.contributor.departmentDepartment of Mathematicsen_US
dc.contributor.facultyFaculty of Arts and Sciencesen_US
dc.contributor.institutionUniversity of Balamanden_US
dc.date.catalogued2019-06-03-
dc.description.degreeMSc in Mathematicsen_US
dc.description.statusPublisheden_US
dc.identifier.ezproxyURLhttp://ezsecureaccess.balamand.edu.lb/login?url=http://olib.balamand.edu.lb/projects_and_theses/Th-Mat-9.pdfen_US
dc.identifier.OlibID192249-
dc.provenance.recordsourceOliben_US
Appears in Collections:UOB Theses and Projects
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