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pracma (version 1.9.3)

euler_heun: Euler-Heun ODE Solver

Description

Euler and Euler-Heun ODE solver.

Usage

euler_heun(f, a, b, y0, n = 100, improved = TRUE, ...)

Arguments

f
function in the differential equation $y' = f(x, y)$.
a, b
start and end points of the interval.
y0
starting value at a.
n
number of grid points.
improved
logical; shall the Heun method be used; default TRUE.
...
additional parameters to be passed to the function.

Value

List with components t for grid (or `time') points, and y the vector of predicted values at those grid points.

Details

euler_heun is an integration method for ordinary differential equations using the simple Euler resp. the improved Euler-Heun Method.

References

Quarteroni, A., and F. Saleri (). Scientific Computing with MATLAB and Octave. Second Edition, Springer-Verlag, Berlin Heidelberg, 2006.

See Also

cranknic

Examples

Run this code
##  Flame-up process
f <- function(x, y) y^2 - y^3
s1 <- cranknic(f, 0, 200, 0.01)
s2 <- euler_heun(f, 0, 200, 0.01)
## Not run: 
# plot(s1$t, s1$y, type="l", col="blue")
# lines(s2$t, s2$y, col="red")
# grid()## End(Not run)

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