RungeKutta - Outline Ordinary Differential Equations Second-Order Runge-Kutta Methods Fourth-Order Runge-Kutta Methods Systems of Equations Pseudo Code

# RungeKutta - Outline Ordinary Differential Equations...

This preview shows page 1 - 4 out of 10 pages.

Outline Ordinary Differential Equations Second-Order Runge-Kutta Methods Fourth-Order Runge-Kutta Methods Systems of Equations Pseudo Code for Runge-Kutta Methods Runge-Kutta Methods EE 451-Introduction to Robot Control Intelligent Systems Laboratory Electrical and Electronics Engineering Bogazici University November 18, 2013 EE 451-Introduction to Robot Control Runge-Kutta Methods
Outline Ordinary Differential Equations Second-Order Runge-Kutta Methods Fourth-Order Runge-Kutta Methods Systems of Equations Pseudo Code for Runge-Kutta Methods Ordinary Differential Equations Second-Order Runge-Kutta Methods Fourth-Order Runge-Kutta Methods Systems of Equations Pseudo Code for Runge-Kutta Methods EE 451-Introduction to Robot Control Runge-Kutta Methods
Outline Ordinary Differential Equations Second-Order Runge-Kutta Methods Fourth-Order Runge-Kutta Methods Systems of Equations Pseudo Code for Runge-Kutta Methods ODE’s dy dx = f ( x , y ) Solution to the ODE’s in general: y i +1 = y i + φ ( x i , y i , h ) h trianglerightsld h : step-size trianglerightsld φ ( x i , y i , h ): increment function (slope over the interval). In general φ = a 1 k 1 + a 2 k 2 + ··· + a n k n EE 451-Introduction to Robot Control Runge-Kutta Methods

#### You've reached the end of your free preview.

Want to read all 10 pages?

• Fall '16
• Bozma
• Trigraph, Yi, ORDINARY DIFFERENTIAL EQUATIONS, Runge–Kutta methods, runge-kutta methods

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern