000			02068cam a2200349 a 4500
003			EG-GiCUC
005			20250223031100.0
008			141027s2014 ua f m 000 0 eng d
040			_aEG-GiCUC _beng _cEG-GiCUC
041	0		_aeng
049			_aDeposite
097			_aPh.D
099			_aCai01.12.17.Ph.D.2014.Mo.N
100	0		_aMohamed Adel Hosny
245	1	0	_aNumerical studies for anomalous subdiffusion equations / _cMohamed Adel Hosny ; Supervised L. F. Abdelelal , N. H. Sweilam , M. M. Khader
246	1	5	_aدراسات عددية للمعادلات جزئية الانتشار غير المعتادة
260			_aCairo : _bMohamed Adel Hosny , _c2014
300			_a136 P. ; _c25cm
502			_aThesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics
520			_aThis thesis is a contribution on numerical studies for anomalous subdiffusion equations. A class of numerical methods for solving two of the most important anomalous subdiffusion equations which are the fractional cable equation (FCE) of spiny neuronal dendrites and the fractional reaction - subdiffusion equation (FRSE) is presented. This class of methods is very close to the weighted average finite difference method (WAFDM). Theorems with their proofs are presented to study the stability analysis and the truncation error of the proposed method. Also, a numerical method depends on the finite difference method based on Hermite formula is presented to solve two of the anomalous subdiffusion equations which are the fractional reaction - subdiffusion equation and the fractional diffusion - wave equation
530			_aIssued also as CD
653		4	_aAnomalous subdiffusion equations
653		4	_aFractional diffusion
653		4	_aMathematics
700	0		_aLaila Fahmy Abdelelal , _eSupervisor
700	0		_aMohamed Maabed Bayoumy Khader , _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			_c47992 _d47992