Euler-Heun ODE Solver
Euler and Euler-Heun ODE solver.
euler_heun(f, a, b, y0, n = 100, improved = TRUE, ...)
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. |
euler_heun is an integration method for ordinary differential
equations using the simple Euler resp. the improved Euler-Heun Method.
List with components t for grid (or ‘time’) points, and y
the vector of predicted values at those grid points.
Quarteroni, A., and F. Saleri (). Scientific Computing with MATLAB and Octave. Second Edition, Springer-Verlag, Berlin Heidelberg, 2006.
## 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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