Please use this identifier to cite or link to this item:
https://hdl.handle.net/11147/3200
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Tanoğlu, Gamze | en |
dc.contributor.author | Kıran Güçoğlu, Arzu | - |
dc.date.accessioned | 2014-07-22T13:51:03Z | - |
dc.date.available | 2014-07-22T13:51:03Z | - |
dc.date.issued | 2005 | en |
dc.identifier.uri | http://hdl.handle.net/11147/3200 | - |
dc.description | Thesis (Master)--Izmir Institute of Technology, Mathematics, Izmir, 2005 | en |
dc.description | Includes bibliographical references (leaves: 55-57) | en |
dc.description | Text in English; Abstract: Turkish and English | en |
dc.description | ix, 66 leaves | en |
dc.description.abstract | In this thesis, the nonstandard finite difference method is applied to construct thenew finite difference equations for the first order nonlinear dynamic equation, second order singularly perturbed convection diffusion equation and nonlinear reaction diffusion partial differential equation The new discrete representation for the first order nonlinear dynamic equation allows us to obtain stable solutions for all step-sizes.For singularly perturbed convection diffusion equation, the error analysis reveals that the nonstandard finite difference representation gives the better results for any values of the perturbation parameters. Finally, the new discretization for the last equation is obtained.The lemma related to the positivity and boundedness conditions required for the nonstandard finite difference scheme is stated. Numerical simulations for all differential equarions are illustrated based on the parameters we considered. | en |
dc.language.iso | en | en_US |
dc.publisher | Izmir Institute of Technology | en |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject.lcc | QA372 .K89 2005 | en |
dc.subject.lcsh | Differential equations, Nonlinear--Numerical solutions | en |
dc.subject.lcsh | Differential equations, Nonlinear | en |
dc.subject.lcsh | Finite differences | en |
dc.title | The solution of some differential equations by nonstandard finite difference method | en_US |
dc.type | Master Thesis | en_US |
dc.institutionauthor | Kıran Güçoğlu, Arzu | - |
dc.department | Thesis (Master)--İzmir Institute of Technology, Mathematics | en_US |
dc.relation.publicationcategory | Tez | en_US |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.openairetype | Master Thesis | - |
Appears in Collections: | Master Degree / Yüksek Lisans Tezleri |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
T000332.pdf | MasterThesis | 455.7 kB | Adobe PDF | View/Open |
CORE Recommender
Page view(s)
38,102
checked on Apr 15, 2024
Download(s)
50
checked on Apr 15, 2024
Google ScholarTM
Check
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.