Numerical solutions to partial differential equations-finite difference approach

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dc.contributor.authorMajengo, Tanu
dc.date.accessioned2019-01-18T13:33:57Z
dc.date.available2019-01-18T13:33:57Z
dc.date.issued2017
dc.descriptionDissertation (MSc. Mathematics)en_US
dc.description.abstractThis dissertation contains materials on numerical solutions to partial differential equations only appropriate for senior level undergraduate. The reader based on this dissertation should have had introductory courses in Calculus, linear algebra and general numerical analysis. A formal course in ordinary or partial differential equations would be useful. In our study, it should be understood that, there are many procedures that come under the name numerical methods. We shall see how the very popular finite difference methods can be used to solve elliptic equations, hyperbolic equations and parabolic equations. To begin, we introduce the idea of numerical methods. We then show how to use these finite differences methods to solve the heat problems, wave problems, Laplace’s equations and Poisson’s equations. Moreover, systems of algebraic equations have been solved numerically by using Gauss elimination methods. Also the reader will find how numerical solutions to partial differential equations are applicable in daily life experience.en_US
dc.identifier.citationMajengo, T. (2017). Numerical solutions to partial differential equations-finite difference approach. Dodoma: The University of Dodomaen_US
dc.identifier.urihttp://hdl.handle.net/20.500.12661/557
dc.language.isoenen_US
dc.publisherThe University of Dodomaen_US
dc.subjectNumerical solutionsen_US
dc.subjectCalculusen_US
dc.subjectLinear algebraen_US
dc.subjectNumerical analysisen_US
dc.subjectAlgebraic equationsen_US
dc.subjectGauss elimination methodsen_US
dc.subjectHeat problemsen_US
dc.subjectWave problemsen_US
dc.subjectLaplace’s equationsen_US
dc.subjectPoisson’s equationsen_US
dc.subjectNumerical analysisen_US
dc.subjectPartial differential equationsen_US
dc.subjectDifferential equationsen_US
dc.subjectEquationsen_US
dc.titleNumerical solutions to partial differential equations-finite difference approachen_US
dc.typeDissertationen_US
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