The sine-Gordon equation and its application to black holes

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dc.contributor.advisorSeahra, Sanjeev.
dc.contributor.authorAl Humaidi, Mohammed O. S.
dc.date.accessioned2023-03-01T16:26:14Z
dc.date.available2023-03-01T16:26:14Z
dc.date.issued2015
dc.date.updated2020-03-24T00:00:00Z
dc.description.abstractLinear and nonlinear wave equations are important in various aspects of mathematics and physics, including the study of black holes. After a brief survey of the sine-Gordon equation (SGE), this report presents a fourth-order numerical approximation scheme for solving equations of this type. This is followed by a numerical investigation of SGE in the presence of the PoschlTeller potential. We close with a discussion of the application of this method to the study of black hole dynamics.
dc.description.copyright© Mohammed 0. S. Al Humaidi, 2015
dc.description.noteA Report Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science in the Graduate Academic Unit of Mathematics and Statistics. Electronic Only.
dc.description.noteM.Sc. University of New Brunswick, Department of Mathematics and Statistics, 2015.
dc.formattext/xml
dc.format.extentviii, 36 pages ; illustrations
dc.format.mediumelectronic
dc.identifier.oclc(OCoLC)1145889137
dc.identifier.otherThesis 9545
dc.identifier.urihttps://unbscholar.lib.unb.ca/handle/1882/13837
dc.language.isoen_CA
dc.publisherUniversity of New Brunswick
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subject.disciplineMathematics and Statistics
dc.subject.lcshBlack holes (Astronomy) -- Mathematical models.
dc.subject.lcshNonlinear wave equations.
dc.subject.lcshMathematical physics.
dc.titleThe sine-Gordon equation and its application to black holes
dc.typemaster thesis
thesis.degree.disciplineMathematics and Statistics
thesis.degree.fullnameMaster of Science
thesis.degree.grantorUniversity of New Brunswick
thesis.degree.levelmasters
thesis.degree.nameM.Sc.

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