08.04.1 Chapter 08.04 Runge-Kutta 4th Order Method for Ordinary Differential Equations After reading this chapter, you should be able to 1.develop Runge-Kutta 4thorder method for solving ordinary differential equations, 2.find the effect size of step size has on the solution, 3.know the formulas for other versions of the Runge-Kutta 4thorder method What is the Runge-Kutta 4th order method? Runge-Kutta 4thorder method is a numerical technique used to solve ordinary differential equation of the form ()( )00,,yyyxfdxdy==So only first order ordinary differential equations can be solved by using the Runge-Kutta 4th order method. In other sections, we have discussed how Euler and Runge-Kutta methods are used to solve higher order ordinary differential equations or coupled (simultaneous) differential equations. How does one write a first order differential equation in the above form? Example 1Rewrite ( )50,3.12==+−yeydxdyxin 0)0(),,(yyyxfdxdy==form.
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