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Course Information

Course Name
Turkish Adi Türevli Diferansiyel Denklemlerin Sayısal Çözümleri
English ODE:Numerical Sol.
Course Code
MAT 423E Credit Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester 2
3 3 - -
Course Language English
Course Coordinator Ersin Özuğurlu
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. Boundary value problems,
linear shooting method, nonlinear shooting method, finite difference method,
Course Outcomes I.Classifies ordinary differential equations with respect to their certain properties, examines
stability and convergence of the ordinary differential equations,
II.Solves ordinary differential equations numerically by using single step methods,
III. Solves ordinary differential equations numerically by using multi- step methods,
IV. Solves N.order equations and systems of equations;
V.Solves boundary value problems numerically by using various methods,
VI.Solves eigenvalue problems.
Pre-requisite(s) MAT 232 /232E veya MAT 201/201 E MİN DD
Required Facilities
Other
Textbook
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