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dc.contributor.advisorCastillo, Paul E.
dc.contributor.authorAlvarez, Michael
dc.description.abstractThis thesis describes an implementation of the Local Discontinuous Galerkin LDG method applied to a problem of fractional diffusion. The discrete formulation of the associated system is discussed, with emphasis on the construction of the fractional operator. A strategy is provided to add a term of stability in the primary variable, unlike other implementations that stabilize the method by penalizing in the auxiliary variable, in such a way that convergence order is obtained O (h p+1 ) for polynomials of degree p. Additionally, numerical experiments are shown in which little regularity is needed, on the part of the exact solution, to obtain optimum convergence.en_US
dc.subjectmethod, ldg, fractional, diffusion, equation, 1D, metodo, fraccionario, difusion, ecuacion,en_US
dc.subject.lcshGalerkin methodsen_US
dc.subject.lcshFractional differential equationsen_US
dc.titleMétodo LDG para la ecuación de difusión fraccionaria en 1Den_US
dc.title.alternativeLocal discontinuous Galerkin (LDG) method applied to fractional diffusion equations in 1Den_US
dc.rights.licenseAll rights reserveden_US
dc.rights.holderMichael Alvarezen_US
dc.contributor.committeeSteinberg, Lev
dc.contributor.committeeRozga, Krzysztof
dc.contributor.representativeAraya, Guillermo Mathematicsen_US
dc.contributor.collegeCollege of Arts and Sciences - Sciencesen_US
dc.contributor.departmentDepartment of Mathematicsen_US

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