GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS BY FINITE DIFFERENCE METHOD/6341305

Course Title:	NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS BY FINITE DIFFERENCE METHOD
Credits	3	ECTS	7.5
Semester	1	Compulsory/Elective	Elective

COURSE INFO

-- LANGUAGE OF INSTRUCTION

Turkish

-- NAME OF LECTURER(S)

Assoc.Prof. Fatma AYAZ

-- WEB SITE(S) OF LECTURER(S)

http://websitem.gazi.edu.tr/site/fayaz

-- EMAIL(S) OF LECTURER(S)

fayaz@gazi.edu.tr

-- LEARNING OUTCOMES OF THE COURSE UNIT

Learning how to solve initial and boundary value problem approximately even tehere no analytical solutions.
The importance of using computers in many fields such as mathematics, engineering and etc. are also shown effectively.
Content of the lecture is associated with the other areas of mathematics such as algebra, analysis etc.
Students have gained knowledge about computer programming and preparing algorithms.
Put emphasis on the relations between differential equations and mathematical models.

-- MODE OF DELIVERY

The mode of delivery of this course is Face to face

-- PREREQUISITES AND CO-REQUISITES

There is no prerequisite or co-requisite for this course.

-- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS

Ordinary and Partial Differential Equations

--COURSE CONTENT
1. Week	Introduction and Finite Difference Formulae Descriptive treatment of elliptic Equations
2. Week	Descriptive treatment of Parabolic and Hyperbolic Equations
3. Week	Finite Difference Approximations to derivatives
4. Week	Notation for functions of severeal variables
5. Week	Parabolic Equations:Finite Difference Method, Convergence and Satability
6. Week	Transformation to non-dimensional form
7. Week	An Explicit finite-difference approximation to heat equation
8. Week	Mid-Term Exam
9. Week	Crank-Nicholsan Implicit method
10. Week	Solution of the implicit equations by Gauss's Elimination method
11. Week	The stability of the elimination method
12. Week	A weighted average approximation
13. Week	Derivative boundary conditions
14. Week	Worked Examples including comparison tables
15. Week	The local Truncation Error
16. Week	Final Exam

-- RECOMMENDED OR REQUIRED READING

Difference Methods, G.D. Smith, Clarendon Press-Oxford, Third edition

-- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS

Lecture, Question & Answer, Demonstration, Drill - Practise

-- WORK PLACEMENT(S)

None

-- ASSESSMENT METHODS AND CRITERIA

	Quantity	Percentage
Mid-terms	1	30
Assignment	1	10
Exercises	0	0
Projects	0	0
Practice	0	0
Quiz	0	0
Contribution of In-term Studies to Overall Grade		40
Contribution of Final Examination to Overall Grade		60

-- WORKLOAD

Efficiency	Total Week Count	Weekly Duration (in hour)	Total Workload in Semester
Theoretical Study Hours of Course Per Week	14	3	42
Practising Hours of Course Per Week			0
Reading	4	12	48
Searching in Internet and Library	4	12	48
Designing and Applying Materials			0
Preparing Reports			0
Preparing Presentation	1	15	15
Presentation	1	5	5
Mid-Term and Studying for Mid-Term	1	15	15
Final and Studying for Final	1	15	15
Other			0
TOTAL WORKLOAD:			188
TOTAL WORKLOAD / 25:			7.52
ECTS:			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

NO	PROGRAM LEARNING OUTCOMES	1	2	3	4	5
1					X
2					X
3					X
4				X
5				X
6				X
7				X
8				X
9					X
10				X
11				X
12					X

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GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR