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040 _aEG-GiCUC
_beng
_cEG-GiCUC
041 0 _aeng
049 _aDeposite
097 _aM.Sc
099 _aCai01.12.17.M.Sc.2015.Om.F
100 0 _aOmnia Ismail Mohammad Ismail
245 1 0 _aFault tolerance scheme for some mathematical models /
_cOmnia Ismail Mohammad Ismail ; Supervised Laila F. Abdelal , Nasser H. Sweilam , Hatem M. Moharram
246 1 5 _aمخطط للتسامح مع الخطأ لبعض النماذج الرياضية
260 _aCairo :
_bOmnia Ismail Mohammad Ismail ,
_c2015
300 _a86 P. :
_bcharts ;
_c25cm
502 _aThesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics
520 _aThis thesis has two purposes, the {uFB01}rst purpose is to study the numerical solution of fractional order di{uFB00}erential equations using computer cluster machines then measure the e{uFB03}ciency of the solution algorithm when applied on computer cluster machines using a parallel programming model. The second purpose is to detect and handle faults that may occur during the implementation of the solution algorithm. In this thesis, a parallel Crank-Nicholson {uFB01}nite di{uFB00}erence method (P - CN - FDM) is presented for solving time - fractional parabolic equation using distributed memory systems. The resultant large sparse system of equations is solved using a parallel preconditioned conjugate gradient algorithm (PPCG) that is implemented using a two level parallel programming model. A series of tests has been carried out on a Linux PC cluster using di{uFB00}erent problem sizes and di{uFB00}erent number of processes and nodes. The proposed algorithm in this the- sis has a great performance enhancement with respect to the total execution time and memory utilization in comparison with a previously proposed techniques. An online algorithm based fault tolerance technique (online ABFT) for detecting soft errors in Krylov osed technique is explained using the preconditioned conjugate gradient method (PCG). Experimental results showed a good enhancement in the execution time when compared with disk-based checkpointing technique
530 _aIssued also as CD
653 4 _aAlgorithm based fault tolerance
653 4 _aDiskless checkpointing
653 4 _aFault tolerance
700 0 _aHatem Mohamed Moharram ,
_eSupervisor
700 0 _aLaila Fahmy Abdelal ,
_eSupervisor
700 0 _aNasser Hassan Sweilam ,
_eSupervisor
856 _uhttp://172.23.153.220/th.pdf
905 _aNazla
_eRevisor
905 _aSamia
_eCataloger
942 _2ddc
_cTH
999 _c56598
_d56598