Course Information

Course Name	Turkish	Diferansiyel Denklemlerin Sayısal Çözümleri
	English	Numerical Solutions of Ordinary Differential Equations
Course Code	MAT 423E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	3	-	-
Course Language		English
Course Coordinator		Semra Ahmetolan
Course Objectives		1-To introduce the basic concepts of the solutions of the ordinary differential equations. 2-To teach various numerical methods to solve ordinary differential equations.
Course Description		Initial And Boundary Value Problems, Existence And Uniqueness Theorems, Well-Posed Problem, Single Step Methods, Multi-Step Methods. Single Step Methods, Euler Method, Taylor Series Method, Runge-Kutta Method. Multi-Step Methods, Adams-Bashforth Method, Adams-Moulton Method. N.Order Equations And Systems Of Equations, Stability. Stiff Differential Equations. Boundary Value Problems, Linear Shooting Method, Nonlinear Shooting Method, Finite Difference Methods For Linear And Nonlinear Problems.
Course Outcomes		Students completing this course will be able to: Classify ordinary differential equations with respect to their certain properties, Examine stability and convergence of the ordinary differential equations, Solve ordinary differential equations numerically by using single step methods, Solve ordinary differential equations numerically by using multi- step methods, Solve Nth order equations and systems of equations, Solve boundary value problems numerically by using various methods.
Pre-requisite(s)		MAT 232-E / MAT 201-E / MAT 210-E min DD
Required Facilities
Other
Textbook		Richard L. Burden and J. Douglas Faires, Numerical Analysis, Brooks/Cole Publishing Company, 2010.
Other References		• K. E. Atkinson, W. Han, D. Stewart Numerical Solution of ODE, Wiley, 2009. • L.R. Scott, Numerical Analysis, Princeton University Press, 2011. • D. Kincaid and W. Cheney, Numerical Analysis, Brooks/Cole .Publishing Company, 1991. • P. Linz, Theoretical Numerical Analysis, Dover Publications, 2001. • Stoer and Bulirsch, An Introduction to Numerical Analysis, 3rd edition. Springer, 2002. • Michael T. Heath, Scientific Computing: An Introductory Survey, McGrawHill, 2nd Ed.,2002. • R.L. Burden and J.D. Faires, Numerical Analysis, Cengage Learning, 9th, Ed., 2010

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