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Course Unit Title Course Unit Code Type of Course Unit Level of Course Unit Year of Study Semester ECTS Credits
Numerical Analysis III INS314 Elective Bachelor's degree 3 Spring 4

Name of Lecturer(s)

Prof. Dr. Safa Bozkurt COŞKUN
Assistant Prof. Dr. Serkan ENGİN

Learning Outcomes of the Course Unit

1) Classify partial differential equations
2) Analyze problems represented by Laplace and Poisson's equations
3) Apply iterative solution techniques
4) Analyze problems defined in irregular regions
5) Analyze parabolic partial differential equations using explicit and implicit methods
6) Analyze engineering problems defined by hyperbolic differential equations

Program Competencies-Learning Outcomes Relation

  Program Competencies
1 2 3 4 5 6 7 8 9 10 11
Learning Outcomes
1 High No relation No relation No relation No relation No relation No relation No relation No relation No relation No relation
2 High No relation No relation No relation No relation No relation No relation No relation No relation No relation No relation
3 High No relation No relation No relation No relation No relation No relation No relation No relation No relation No relation
4 High No relation No relation No relation No relation No relation No relation No relation No relation No relation No relation
5 High No relation No relation No relation No relation No relation No relation No relation No relation No relation No relation
6 High No relation No relation No relation 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

Not Required

Course Contents

This course covers partial differential equations and their classifications, representation of difference equation, Laplace equation, Poisson's equation, derivative boundary conditions, irregular regions, Laplace equation in three-dimension, Matrix patterns, sparseness, ADI method, parabolic partial differential equations, explicit methods, Crank-Nicholson method, generalized theta method, derivative boundary conditions, parabolic equations in two- and three-dimensions, hyperbolic differential equations, wave equation, method of characteristics, wave equation in two-dimensions.

Recommended or Required Reading

Planned Learning Activities and Teaching Methods



Assessment Methods and Criteria

Language of Instruction

Turkish

Work Placement(s)

Not Required