Academic Catalog

MATH593 NUMERICAL SOLUT. OF PARTIAL DIFF. EQU.

Course Code: 2360593
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Mathematics
Language of Instruction: English
Level of Study: Graduate
Course Coordinator: Prof.Dr. BÜLENT KARASÖZEN
Offered Semester: Fall Semesters.

Course Content

Finite difference method. stability. convergence and error analysis. Initial and boundary conditions. irregular boundaries. Parabolic equations; explicit and implicit methods. stability analysis. error reduction. variable coefficients. derivative boundary conditions. solution of tridiagonal systems. Elliptic equations. iterative methods. rate of convergence. Hyperbolic equations. The Lax-Wendroff method. variable coefficients. systems of conservation laws. stability. Finite volume method.