Information Package
baskent.edu.tr

Master's of Mechanical Engineering with Thesis

MAK503

NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS

Course Code
MAK503
Semester
-
Theory+Practice
3 + 0
ECTS
10
Course TypeElective Course
Course LevelMaster's Degree With Thesis
Year of Study-
Semester-
ECTS10
Name of Lecturer(s)
Learning Outcomes

At the end of this course, the students;

  1. Learning the characteristics of the parabolic, hyperbolic and elliptic differential equations.
  2. Solving ordinary differential equations with numerical techniques.
  3. Ability to change the numerical solution technique od differential equations with respect to different boundary conditions.
  4. Getting knowledge of the numerical solution techniques for the partial differential equations.
  5. Determining the convergence criteria for the numerical solution techniques.
  6. Selecting alternative numerical techniques for divergent differential equations.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course DescriptionSolution of ordinary differential equations, initial and boundary value problems, Runge-Kutta methods, higher order ordinary differential equations, classification of partial differential equations, solution techniques of parabolic, elliptic and hyperbolic partial differential equations, applications in engineering.
Course Contents
Recommended or Required ReadingLANGTANGEN H.P., Computational Partial Differential Equations: Numerical Methods and Diffpack Programming, Springer Verlag
GOCKENBACH M.S., Partial Differential Equations: Analytical and Numerical Methods, SIAM
LARSSON S., Thomee V., Partial Differential Equations with Numerical Methods, Springer Verlag
DORMAND J.R., Numerical Methods for Differential Equations: A Computational Approach (Engineering Mathematics), CRC Press, 1996
Planned Learning Activities and Teaching Methods
  • Questions/Answers
  • Problem Solving
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 35
Assignment 4 20
Attendance 1 5
Total(%) 60
Contribution of In-term Studies to Overall Grade(%) 60
Contribution of Final Examination to Overall Grade(%) 40
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 1.5 1.5
Preparation for Quiz
Individual or group work 14 2 28
Preparation for Final exam 1 20 20
Course hours 14 3 42
Preparation for Midterm exam 1 20 20
Laboratory (including preparation)
Final exam 1 2 2
Homework 4 20 80
Take-home 2 50 100
Total Work Load293.5
Total Work Load / 30 (h)9.78
ECTS Credit of the Course10
Language of InstructionTurkish
Work Placement(s)No

Programme Qualifications / Learning Outcomes

LO1 LO2 LO3 LO4 LO5 LO6
K1 X X X X X X
K2
K3
K4
K5 X X X X X X
K6
K7
K8
K9
K10
K11 X X