Non-polynomial spectral methods for solving integer and non-integer order differential equations / (Record no. 83551)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02775cam a2200349 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | EG-GiCUC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250223032900.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 211213s2021 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 | M.Sc |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) | |
| Classification number | Cai01.12.17.M.Sc.2021.Ma.N |
| 100 0# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Magda Hammad Ibrahim |
| 245 10 - TITLE STATEMENT | |
| Title | Non-polynomial spectral methods for solving integer and non-integer order differential equations / |
| Statement of responsibility, etc. | Magda Hammad Ibrahim ; Supervised Eid H. Doha , Youssri H. Youssri , Ramy M. Hafez |
| 246 15 - VARYING FORM OF TITLE | |
| Title proper/short title | طرق طيفية على شكل غير كثيرات حدود لحل المعادلات التفاضلية ذات الرتب الصحيحة وغير الصحيحة |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Cairo : |
| Name of publisher, distributor, etc. | Magda Hammad Ibrahim , |
| Date of publication, distribution, etc. | 2021 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 94 P. : |
| Other physical details | charts ; |
| Dimensions | 25cm |
| 502 ## - DISSERTATION NOTE | |
| Dissertation note | Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Many problems in science and engineering are given in unbounded domains. In order to solve them numerically, the domain is replaced by a finite one to facilitate the numerical computations. Appropriate boundary conditions on the "artificial" boundaries is considered, and then a spectral method is employed to approximate the reduced problem.The main disadvantage of this approach is that it can be used only for problems with rapidly decaying solutions or when accurate non-reflecting or exact boundary conditions are available at the artificial boundaries, but it is difficult to obtain the exact boundary conditions. Accordingly, some additional numerical errors occur. Our first aim in this thesis is to remedy this deficiency in spectral methods by taking classical Jacobi polynomials as bases/test functions with an exponential mapping. Specifically, we develop spectral Galerkin and collocation methods based on the exponential Jacobi functions for solving linear and nonlinear partial differential equations in unbounded domains, respectively. We also establish some basic results on the exponential Jacobi orthogonal approximations in the nonuniformly weighted Sobolev space. Moreover, we derive the exponential Lagrange interpolation formula and its related error estimates.These results serve as the mathematical foundation of spectral methods for various partial differential equations in unbounded domains |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Issued also as CD |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Methods for solving integer |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Non-integer order |
| 653 #4 - INDEX TERM--UNCONTROLLED | |
| Uncontrolled term | Non-polynomial |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Eid H. Doha , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ramy M. Hafez , |
| Relator term | |
| 700 0# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Youssri H. Youssri , |
| 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 | Nazla |
| Reviser | Revisor |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) | |
| Cataloger | Shimaa |
| Reviser | Cataloger |
| 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.M.Sc.2021.Ma.N | 01010110084982000 | 22.09.2023 | Thesis | ||
| Dewey Decimal Classification | المكتبة المركزبة الجديدة - جامعة القاهرة | مخـــزن الرســائل الجـــامعية - البدروم | 11.02.2024 | Cai01.12.17.M.Sc.2021.Ma.N | 01020110084982000 | 22.09.2023 | CD - Rom | 84982.CD |