| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Finite Difference Methods | MAT516 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Prof. Dr. İlhame AMİRALİ |
| Instructors |
Fatih HEZENCİ |
| Assistants | |
| Goals | Ensuring high level of knowledge related to the topics in the content of the course, giving the ability of using this konwledge in discussion and research environments to students. |
| Course Content | Basic concepts of finite differences theory, Finite difference solutions of ordinary differential equations , Finite difference schemas for parabolic equations, Finite difference approximations for elliptic equations, Solutions of multivariate parabolic equations. |
| Learning Outcomes |
- Students will learn theoretical concepts in mathematics - Students will learn how to read academical journals |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Basic concepts of finite differences theory | |
| 2. Week | Basic concepts of finite differences theory | |
| 3. Week | Finite difference solutions of ordinary differential equations | |
| 4. Week | Finite difference solutions of ordinary differential equations | |
| 5. Week | Finite difference solutions of ordinary differential equations | |
| 6. Week | Finite difference schemas for parabolic equations | |
| 7. Week | Finite difference schemas for parabolic equations | |
| 8. Week | Midterm | |
| 9. Week | Finite difference approximations for elliptic equations | |
| 10. Week | Solutions of multivariate parabolic equations | |
| 11. Week | Solutions of multivariate parabolic equations | |
| 12. Week | Solutions of multivariate parabolic equations | |
| 13. Week | Solutions of multivariate parabolic equations | |
| 14. Week | Solutions of multivariate parabolic equations |
| 1.Numerical solution of partial differential equations: finite difference methods, Smith, G. D., Oxford University Pres (1993). |
| 2.Mathews Numerical Methods for mathematics, science and engineering, John H. ( Prentice – Hall )1992. |
| 3.The Finite Element Method , Zienkiewicz O.C., London , McGraw-Hill,(1977). |
| 4.Variational Methods in Elasticity and Plasticity, Washizu K., New York; Pergamon,(1982). |
| Program Requirements | Contribution Level | DK1 | DK2 | Measurement Method |
|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 40 |
| PY2 | 4 | 4 | 4 | 60 |
| PY3 | 4 | 4 | 4 | 60 |
| PY4 | 4 | 4 | 4 | 60 |
| PY5 | 4 | 4 | 4 | 40 |
| PY6 | 4 | 4 | 4 | 60 |
| PY7 | 5 | 5 | 5 | 40 |
| PY8 | 4 | 4 | 4 | 60 |
| PY9 | 5 | 5 | 5 | 60 |
| PY10 | 4 | 4 | 4 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 15 | 2 | 30 |
| Homework 2 | 15 | 2 | 30 |
| Final | 1 | 2 | 2 |
| Practice | 15 | 3 | 45 |
| Practice End-Of-Term | 15 | 3 | 45 |
| Classroom Activities | 15 | 3 | 45 |
| Total Workload | 199 | ||
| ECTS Credit of the Course | 8.0 | ||
