Dersin Bilgileri

Dersin Adı	Türkçe	Gelişmiş Diferansiyel Denklem
	İngilizce	Advanced Differential Equat.
Dersin Kodu	JFM 504E	Kredi	Ders (saat/hafta)	Uygulama (saat/hafta)	Labratuvar (saat/hafta)
Dönem	-	3	2	1	-
Dersin Dili		İngilizce
Dersin Koordinatörü		Yasir Bashir
Dersin Amaçları		Starting from physical problems, demonstrate the construction of mathematical models described by partial differential equations To Emphasize the importance of making appropriate assumptions and approximations based on the physical nature of the problem To demonstrate how the solution of partial differential equations are obtained based on initial and/or boundary conditions specific to the problem To give insight as to how problems without exact (analytical) solutions can be solved by numerical approximations.
Dersin Tanımı		Construction and solution of parabolic (diffusion equation) Hyperbolic (wave equation) type initial-boundary-value problems Elliptic type (Laplace’s and Poisson’s equations) initial-value problems using the methods of separation of variables, Integral transforms (Fourier series, Fourier transform, Laplace transform), Eigenfunction expansion, Green’s function (impulse-response), Change of coordinates and Finite differences.
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