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Course Information

Course Name
Turkish Sayısal Kısmi Diferansiyel Denklemler
English Numerical Partial Differential Equations I
Course Code
MAT 557 Credit Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester -
3 3 - -
Course Language Turkish
Course Coordinator Gülçin Mihriye Muslu
Course Objectives I.To introduce basic concepts of the solutions of the partial differential equations.
II. To teach finite difference methods to solve partial differential equations and to do
convergence, consistency, stability analyses.
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, finite difference methods for elliptic partial differential equations,
maximum principle
Course Outcomes
Pre-requisite(s)
Required Facilities
Other
Textbook 1. Strikwerda, J., 2004, Finite difference schemes and partial differential equations,
SIAM.
2. Morton K. W., Mayers D. F., 2005, Numerical solution of partial differential
equations, Cambridge University Press.
3. LeVeque, R. J., 2007, Finite difference methods for ordinary and partial
differential equations, SIAM.
4.Smith G. D., 1985, Numerical solution of partial differential equations, Oxford
University Press.
5. Thomas J. W., 1998, Numerical partial differential equations: Finite difference
methods, Springer
Other References
 
 
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