Fuzzy Differential Equations
Mathematics
Institute of Natural and Applied Sciences
Third Cycle (Doctorate Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Fuzzy Differential Equations | MAT628 | Elective | Doctorate degree | 1 | Fall | 8 |
Name of Lecturer(s)
Associate Prof. Dr. Mine Aylin BAYRAK
Learning Outcomes of the Course Unit
1) Reveal the difference between of differential equations and fuzzy differential equations.
2) Implement analytical and numerical solution methods and using basic definitions, concepts, theorems of fuzzy differential equations.
3) Apply to various mathematical problems of fuzzy differential equations.
4) Apply to engineering problems of fuzzy differential equations.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| Learning Outcomes | ||||||||
| 1 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 2 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 3 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
| 4 | No relation | No relation | No relation | No relation | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Differential equations
Course Contents
Preliminaries of Fuzzy Set Theory, n-th Order Fuzzy Differential Equations, Fractional Initial Value Problem, Fuzzy Fractional Initial Value Problem, Analytical Methods of Fuzzy Differential Equations, Numerical Methods for Fuzzy Ordinary and Partial Differential Equations , Application of Numerical Methods to Fuzzy Ordinary Differential Equations, Fuzzy Structural Problems, Fuzzy Inverse Heat Conduction Problems, The Fuzzy Fractional Klein–Gordon Equation.
Weekly Schedule
1) Preliminaries of Fuzzy Set Theory.2) n-th Order Fuzzy Differential Equations.
3) Fractional Initial Value Problem.
4) Fuzzy Fractional Initial Value Problem.
5) Analytical Methods of Fuzzy Differential Equations.
6) Analytical Methods of Fuzzy Differential Equations.
7) Numerical Methods for Fuzzy Ordinary and Partial Differential Equations.
8) Numerical Methods for Fuzzy Ordinary and Partial Differential Equations.
9) Numerical Methods for Fuzzy Ordinary and Partial Differential Equations.
10) Application of Numerical Methods to Fuzzy Ordinary Differential Equations
11) Application of Numerical Methods to Fuzzy Ordinary Differential Equations
12) Fuzzy Structural Problems.
13) Fuzzy Inverse Heat Conduction Problems.
14) Fuzzy Fractional Klein–Gordon Equation.
15) exam
16) exam
Recommended or Required Reading
Planned Learning Activities and Teaching Methods
1) Discussion
2) Drill and Practice
3) Group Study
4) Brain Storming
5) Problem Solving
Assessment Methods and Criteria
Contribution of Semester Studies to Course Grade |
60% |
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Contribution of Final Examination to Course Grade |
40% |
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Total | 100% | |||||||||||
Language of Instruction
Turkish
Work Placement(s)
Not Required