Schwarz's Method for Differential and Difference Equations

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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.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	http://hdl.handle.net/11129/2847
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.language.iso	eng	en_US
dc.publisher	Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)	en_US
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	masterThesis	en_US
dc.contributor.department	Eastern Mediterranean University, Faculty of Arts and Science, Department of Mathematics	en_US