R: Numerical Solution mth Order Differential Equation System

odesolv {fda} | R Documentation

## Numerical Solution mth Order Differential Equation System

### Description

The system of differential equations is linear, with possibly time-varying coefficient functions. The numerical solution is computed with the Runge-Kutta method.

### Usage

    odesolv(bwtlist, ystart=diag(rep(1,norder)),
            h0=width/100, hmin=width*1e-10, hmax=width*0.5,
            EPS=1e-4, MAXSTP=1000)

### Arguments

`bwtlist` | a list whose members are functional parameter objects defining the weight functions for the linear differential equation.
`ystart` | a vector of initial values for the equations. These are the values at time 0 of the solution and its first m - 1 derivatives.
`h0` | a positive initial step size.
`hmin` | the minimum allowable step size.
`hmax` | the maximum allowable step size.
`EPS` | a convergence criterion.
`MAXSTP` | the maximum number of steps allowed.

### Details

This function is required to compute a set of solutions of an estimated linear differential equation in order compute a fit to the data that solves the equation. Such a fit will be a linear combinations of m independent solutions.

### Value

a named list of length 2 containing

`tp` | a vector of time values at which the system is evaluated
`yp` | a matrix of variable values corresponding to `tp`.

### See Also

`pda.fd`. For new applications, users are encouraged to consider `deSolve`. The `deSolve` package provides general solvers for ordinary and partial differential equations, as well as differential algebraic equations and delay differential equations.

### Examples

    #See the analyses of the lip data.

[Package fda version 2.4.8 Index]