chapter5.page13 - first transform an higher order...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
4. NUMERICAL METHOD FOR SYSTEM OF EQUATIONS 13 Similarly, we can use the same Mathcad code of Runge-Kutta method to find approximate solution as shown in the following screen shot for the above system of equations, Figure 8. Runge-Kutta’s method for system of equations 4.1. Numerical Method for Higher Order Equations. To find numerical approximate for solutions of higher order differential equations using either Euler’s method or Runge-Kutta method, we
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: first transform an higher order differential equations into a system of first order differential equations and then apply the methods. Example 4.2 . Rayleigh Equation In modeling the oscillations of a clarinet reed. Lord Rayleigh introduced an equation of the form mx 00 + kx = ax-b ( x ) 3 Find approximate solution for m = 1 ,k = 1 ,a = 2 ,b = 3 . and initial conditions x (0) = 1 ,x (0) =-2...
View Full Document

This note was uploaded on 10/04/2011 for the course MAP 4231 taught by Professor Dr.han during the Spring '11 term at UNF.

Ask a homework question - tutors are online