Course Information

Course Name	Turkish	Kısmi diferansiyel Denklemlerin Sayısal Çözümleri - I
	English	Numeri.Partial Diffe.Equa. I
Course Code	MAT 557E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	2	3	3	-	-
Course Language		English
Course Coordinator		Ersin Özuğurlu
Course Objectives		1. To learn numerical solutions of partial differential equations , 2. To analyze convergence, consistency, and stability of finite difference schemes, 3. To solve partial differential equations numerically with MATLAB.
Course Description		Finite difference methods for hyperbolic partial differential equations, convergence, consistency, stability, Courant-Friedrichs-Lewy condition, Von Neumann analysis, order of accuracy of finite difference schemes, multistep schemes, dissipation, dispersion, finite difference methods for parabolic partial differential equations, multidimensional partial differential equations, LaxRichtmyer equivalence theorem, Modified Equation Analysis
Course Outcomes		1. To learn numerical solutions of partial differential equations , 2. To analyze convergence, consistency, and stability of finite difference schemes, 3. To solve partial differential equations numerically with MATLAB.
Pre-requisite(s)		MAT264E
Required Facilities		Programming skills
Other		Interactive web page for PDEs: http://multiphysics.us/PDE.html https://ocw.mit.edu/courses/mathematics/18-336-numerical-methods-for-partial-differential-equations-spring-2009
Textbook		J.W. Thomas, Numerical Partial Differential Equations: Finite Difference Methods (Texts in Applied Mathematics, 22) 1st ed. 1995. Corr. 2nd printing 1998 Edition 4, Springer.
Other References		Michael T. Heath, Scientific Computing 2nd Edition, The McGraw-Hill Companies, Inc., 2002. Richard L. Burden, J. Douglas Faires, Annette M. Burden, Numerical Analysis 10th Edition, Cengage Learning.

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