Schwarz's Method for Differential and Difference Equations
| dc.contributor.advisor | Dosiyev, Adiguzel | |
| dc.contributor.author | Ahmed, Ghazi Sabah | |
| dc.date.accessioned | 2016-07-18T12:02:06Z | |
| dc.date.available | 2016-07-18T12:02:06Z | |
| dc.date.issued | 2015-06 | |
| dc.date.submitted | 2015 | |
| dc.department | Eastern Mediterranean University, Faculty of Arts and Science, Department of Mathematics | en_US |
| dc.description | Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2015. Supervisor: Prof. Dr. Adiguzel Dosiyev. | en_US |
| dc.description.abstract | Schwarz introduced a method that permits to obtain a solutions for complicated domains by covering the domain with overlapping subdomains by realizing the solution of the Dirichlet problem for harmonic functions on these overlapping subdomains. The present MS Thesis deals with analyzing the construction and justification of Schwarz's method and Schwarz-Neumann method for partial differential and finitedifference equations and how we can prove the convergence of them by using some theorems and assumptions. Keywords: Dirichlet problem, Artificial boundary, Schwarz's method, Schwarz- Neumann method. | en_US |
| dc.description.abstract | ÖZ: Schwarz, bu örtüşen alt etki alanında harmonik fonksiyonlar için Dirichlet probleminin çözümünü gerçekleştirerek alt alanları örtüşen etki kaplayarak karmaşık alanları için bir çözüm elde etmek için izin veren bir yöntem tanıttı. Mevcut Yüksek Lisans Tezi, kısmi diferansiyel ve sonlu fark denklemlerinin ve nasıl bazı teoremleri ve varsayımlar kullanılarak bunların yakınsama ispat için Schwarz yöntem ve Schwarz-Neumann yönteminin inşaat ve gerekçesini analiz ile ilgilenir. Anahtar Kelimeler: Dirichlet problemi, Yapay sınır, Schwarz metodu, Schwarz- Neumann yöntemi. | en_US |
| dc.identifier.citation | Ahmed, Ghazi Sabah. (2015). Schwarz's Method for Differential and Difference Equations. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus. | en_US |
| dc.identifier.uri | https://hdl.handle.net/11129/2847 | |
| dc.language.iso | en | |
| dc.publisher | Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) | en_US |
| dc.relation.publicationcategory | Tez | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Differential equations | en_US |
| dc.subject | Dirichlet problem | en_US |
| dc.subject | Artificial boundary | en_US |
| dc.subject | Schwarz's method | en_US |
| dc.subject | Schwarz-Neumann method | en_US |
| dc.title | Schwarz's Method for Differential and Difference Equations | en_US |
| dc.type | Master Thesis |
