Upwind Schemes For The Linear Convection Equation

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dc.contributor.authorZunaira Zaka
dc.date.accessioned2016-11-24T02:22:26Z
dc.date.available2016-11-24T02:22:26Z
dc.date.issued2007-06
dc.description.abstractMany important physical processes in nature are governed by partial differential equations. Analytical methods of solving partial differential equations are usually restricted to linear cases with simple geometries and boundary conditions. The increasing availability of more and more powerful digital computers has made more common the use of numerical methods for solving such equations. There are many different approaches to solving partial differential equations numerically, but in this dissertation only finite difference methods are studied. The basic theory of finite difference schemes applied to numerical solution of partial differential equations and fundamental concepts of convergence, consistency and stability are reviewed. In particular for solving the one dimensional linear convection equation, explicit techniques based on the weighted finite difference approximations .tare presented. Convectional explicit finite difference schemes for solving the one dimensional linear convection equation are subjected to time step restrictions dictated by the CFL condition. The aim of this dissertation is to compare several explicit upwind difference schemes for solving the one dimensional linear convection equation which are considered both theoretically and by means of illustrative numerical examples.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/3189
dc.subjectTo compare several explicit upwind difference schemes for solvingen_US
dc.subjectthe one dimensional linear convection equationen_US
dc.titleUpwind Schemes For The Linear Convection Equationen_US
dc.typeThesisen_US
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