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Parallel computing algorithms for solving some types of differential equations /

Sameh Ahmed Mohamed

Parallel computing algorithms for solving some types of differential equations / خوارزميات حسابية متوزية لحل بعض انواع المعادلات التفاضلية Sameh Ahmed Mohamed ; Supervised Laila Fahmy Abdelal , Naser Hassan Sweilam , Hatem Moharam - Cairo : Sameh Ahmed Mohamed , 2013 - 88 P. : charts ; 25cm

Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics

In this thesis, a parallel iterative finite difference method (PIFDM) for solving two dimensions poisson's equation on a distributed system using message passing interface (MPI) is investigated. This method is based on the domain decomposition method, where the two dimensions domain is divided into multiple sub-domains using horizontal and/or vertical axis depending on the available number of computer nodes



Domain decomposition Finite difference method Iterative algorithm