ivp: Initial value problems
In cmna: Computational Methods for Numerical Analysis

Description Usage Arguments Details Value Examples

solve initial value problems for ordinary differential equations

euler(f, x0, y0, h, n)

midptivp(f, x0, y0, h, n)

rungekutta4(f, x0, y0, h, n)

adamsbashforth(f, x0, y0, h, n)

`f`	function to integrate
`x0`	the initial value of x
`y0`	the initial value of y
`h`	selected step size
`n`	the number of steps

The euler method implements the Euler method for solving differential equations. The codemidptivp method solves initial value problems using the second-order Runge-Kutta method. The rungekutta4 method is the fourth-order Runge-Kutta method.

a data frame of x and y values

f <- function(x, y) { y / (2 * x + 1) }
ivp.euler <- euler(f, 0, 1, 1/100, 100)
ivp.midpt <- midptivp(f, 0, 1, 1/100, 100)
ivp.rk4 <- rungekutta4(f, 0, 1, 1/100, 100)