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dc.contributor.advisorQatanani, Naji
dc.contributor.authorAbd Al-Haq, Anwar Jamal Mohammad
dc.date.accessioned2018-02-28T11:41:21Z
dc.date.available2018-02-28T11:41:21Z
dc.date.issued2017-03-29
dc.identifier.urihttps://hdl.handle.net/20.500.11888/13246
dc.description.abstractHyperbolic Partial Differential Equations play a very important role in science, technology and arise very frequently in physical applications as models of waves. Hyperbolic linear partial differential equations of second order like wave equations are the ones to be considered. In fact, most of these physical problems are very difficult to solve analytically. Instead, they can be solved numerically using some computational methods . In this thesis, homogeneous and inhomogeneous wave equations with different types of boundary conditions will be solved numerically using the finite difference method (FDM) and the finite element method (FEM) to approximate the analytical (exact) solution of hyperbolic PDEs. The discretizing procedure transforms the boundary value problem into a linear system of n algebraic equations that can be solved by iterative methods. These iterative methods are: Jacobi, Gauss-Seidel, SOR, and Conjugate Gradient methods. A comparison between these iterative schemes is drawn. The numerical results show that the finite difference method is more efficient than the finite element method for regular domains, while the finite element method is more accurate for complex and irregular domains. Moreover, we observe that the Conjugate Gradient iterative technique gives the most efficient results among the other iterative methods.en_US
dc.language.isoen_USen_US
dc.publisherAn-Najah National Universityen_US
dc.titleNumerical Methods for Solving Hyperbolic Type Problemsen_US
dc.title.alternativeطرق عددية لحل مسائل القطع الزائدen_US
dc.typeThesisen_US


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