Numerical studies for anomalous subdiffusion equations / Mohamed Adel Hosny ; Supervised L. F. Abdelelal , N. H. Sweilam , M. M. Khader

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Mohamed Adel Hosny

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TextLanguage: English Publication details: Cairo : Mohamed Adel Hosny , 2014Description: 136 P. ; 25cmOther title:

دراسات عددية للمعادلات جزئية الانتشار غير المعتادة [Added title page title]

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Dissertation note: Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics Summary: This 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

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Item type	Current library	Home library	Call number	Copy number	Status	Barcode
Thesis	قاعة الرسائل الجامعية - الدور الاول	المكتبة المركزبة الجديدة - جامعة القاهرة	Cai01.12.17.Ph.D.2014.Mo.N (Browse shelf(Opens below))		Not for loan	01010110063890000
CD - Rom	مخـــزن الرســائل الجـــامعية - البدروم	المكتبة المركزبة الجديدة - جامعة القاهرة	Cai01.12.17.Ph.D.2014.Mo.N (Browse shelf(Opens below))	63890.CD	Not for loan	01020110063890000

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Previous	Cai01.12.17.Ph.D.2014.Ah.A Applications of model theory to near/semi - rings /	Cai01.12.17.Ph.D.2014.Mo.E An extended unified method to exact solutions of evolution equations with variable coefficients and applications /	Cai01.12.17.Ph.D.2014.Mo.E An extended unified method to exact solutions of evolution equations with variable coefficients and applications /	Cai01.12.17.Ph.D.2014.Mo.N Numerical studies for anomalous subdiffusion equations /	Cai01.12.17.Ph.D.2014.Mo.N Numerical studies for anomalous subdiffusion equations /	Cai01.12.17.Ph.D.2014.Na.S Stability and stabilizability of dynamic control equations on time scales /	Cai01.12.17.Ph.D.2014.Na.S Stability and stabilizability of dynamic control equations on time scales /	Next

Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics

This 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

Issued also as CD

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