A Proposed Numerical Method for the 3D Wave Equation with Constant Speed

dc.contributor.advisorGibson, Peter
dc.contributor.authorCayley, Omar
dc.date.accessioned2023-08-04T15:07:00Z
dc.date.available2023-08-04T15:07:00Z
dc.date.issued2023-08-04
dc.date.updated2023-08-04T15:07:00Z
dc.degree.disciplineMathematics & Statistics
dc.degree.levelMaster's
dc.degree.nameMA - Master of Arts
dc.description.abstractThis thesis implements a new numerical scheme to solve the (classical) constant speed wave equation in the three dimensional space, currently existing methods (even if more restrictive) rely on time iterations and observe the accumulation of error at each time step iteration, the new method is iteration free ! Making it a good choice for applications requiring accurate results at large times. Numerical experiments and error analysis reveal accuracy of the scheme. The principal conclusion is that the method, based on the Radon transform, must be considered, and we propose it should be developed and count among the standard methods implemented in computational software for engineering and industrial applications.
dc.identifier.urihttps://hdl.handle.net/10315/41305
dc.languageen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectMathematics
dc.subjectApplied mathematics
dc.titleA Proposed Numerical Method for the 3D Wave Equation with Constant Speed
dc.typeElectronic Thesis or Dissertation

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