Numerical simulations of some real-life problems modeled by systems of di{uFB00}erential equations / (Record no. 54238)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02647cam a2200349 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | EG-GiCUC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250223031402.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 160103s2015 ua d f m 000 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | EG-GiCUC |
| Language of cataloging | eng |
| Transcribing agency | EG-GiCUC |
| 041 0# - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | Deposite |
| 097 ## - Thesis Degree | |
| Thesis Level | Ph.D |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | Cai01.12.17.Ph.D.2015.Ta.N |
| 100 0# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Taghreed Abdulrahman Ali Assiri |
| 245 10 - TITLE STATEMENT | |
| Title | Numerical simulations of some real-life problems modeled by systems of di{uFB00}erential equations / |
| Statement of responsibility, etc. | Taghreed Abdul Rahman Ali Assiri ; Supervised L. F. Abdel Elal , N. H. Sweilam |
| 246 15 - VARYING FORM OF TITLE | |
| Title proper/short title | المحاكاة العددية لبعض المشاكل الواقعية المنمذجة بنظم المعادلات التفاضلية |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cairo : |
| Name of publisher, distributor, etc. | Taghreed Abdulrahman Ali Assiri , |
| Date of publication, distribution, etc. | 2015 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 153 P. : |
| Other physical details | charts ; |
| Dimensions | 25cm |
| 500 ## - GENERAL NOTE | |
| General note | With materials accompaniment ( Video clips ) |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (Ph.D.) - Cairo University - Faculty of Science - Department of Mathematics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This thesis is a contribution on numerical simulations of some real life model problems. These models are the Hodgkin-Huxley model (HHM), the four years life cycle of a population of lemmings model, the enzyme kinetics with an inhibitor molecule model, the Chen system model, and the Cable equation for modeling neuronal dynamics. These models are introduced here as vari- able order fractional models (VOFMs). Moreover special attention is given to study the fractional order wave equation (FWE) and the variable order frac- tional wave equation (VOFWE), which appear in di{uFB00}erent {uFB01}elds of applied mathematics and theoretical physics. A class of numerical methods is used to study the above models. These methods are Adams-Bashforth-Moulton (ABM) method, {uFB01}nite di{uFB00}erence method (FDM), non-standard {uFB01}nite di{uFB00}er- ence (NSFD) method, Crank-Nicolson (C-N) method and a novel non-standard Crank-Nicolson (NSCN) method. Theorems with their proofs are presented to study the stability analysis, the convergence and the error analysis of the pro- posed methods. Numerical test examples for these models are presented. Some Matlab codes done by the author are included in this thesis |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Issued also as CD |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Fractional di{uFB00}erential equa- tions |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Real-life mathematical models |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Variable order fractional di{uFB00}erential equations |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Laila Fahmy Abdelal , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Nasser Hassan Sweilam , |
| Relator term | |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://172.23.153.220/th.pdf">http://172.23.153.220/th.pdf</a> |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| Cataloger | Enas |
| Reviser | Cataloger |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| Cataloger | Nazla |
| Reviser | Revisor |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Thesis |
| Source of classification or shelving scheme | Not for loan | Home library | Current library | Date acquired | Full call number | Barcode | Date last seen | Koha item type | Copy number |
|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | قاعة الرسائل الجامعية - الدور الاول | 11.02.2024 | Cai01.12.17.Ph.D.2015.Ta.N | 01010110067368000 | 22.09.2023 | Thesis | ||
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | مخـــزن الرســائل الجـــامعية - البدروم | 11.02.2024 | Cai01.12.17.Ph.D.2015.Ta.N | 01020110067368000 | 22.09.2023 | CD - Rom | 67368.CD |