Course Information

Course Name	Turkish	Adi Türevli Diferansiyel Denklemler İçin Sayısal Analiz
	English	Numerical Analysis for Ordinary Differential Equations
Course Code	MAT 544E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	3	-	-
Course Language		English
Course Coordinator		Ahmet Duran Ahmet Duran
Course Objectives		1. To introduce the basic concepts of the solutions of the ordinary differential equations and systems 2. To teach various numerical methods to solve ordinary differential equations. 3. To teach the general error analysis of various numerical methods.
Course Description		An introduction to the theory of differential equations. Stability of the initial value problem. Euler’s method. Error analysis and numerical stability for Euler’s method. Numerical methods for systems of differential equations. The backward Euler method and the trapezoidal method. Taylor and Runge-Kutta methods, their convergence, stability and asymptotic error. Multistep methods and general error analysis for multistep methods. Stiff differential equations. Implicit Runge-Kutta methods for stiff differential equations. Differential algebraic equations. Two-point boundary value problems.
Course Outcomes
Pre-requisite(s)
Required Facilities
Other
Textbook
Other References