Runge-Kutta Method for Solving Differential Equations
runge.kutta numerically solves a differential equation by the
fourth-order Runge-Kutta method.
runge.kutta(f, initial, x)
f |
A function |
initial |
The initial value of |
x |
A vector of values of |
A vector of values of y as solution of the function f
corresponding to the values in x.
J.K. Lindsey
fn <- function(y,x) (x*y-y^2)/x^2 soln <- runge.kutta(fn,2,seq(1,3,by=1/128)) ## exact solution exact <- seq(1,3,by=1/128)/(0.5+log(seq(1,3,by=1/128))) rbind(soln, exact)
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