Next: Example Up: Main Previous: 3.2. Example3.3 Algorithm (Runge-Kutta) Method of order 4
There are generalization of R-K Method of order 2 to higher order methods. Without getting into analytical details , we state the R-K method of order 4. It is a widely used algorithm. For the initial value problems (1.1), set , i=i=0,1,2..n and for k=0,1,2...n-1, define by
where
Flowchart of R-K Method of order 4
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