Matlab ode23 integration

There are several adaptive integrators available in software form inside MATLAB. Their names are ode45 for a Runge-Kutta embedding formula of orders 4 and 5, ode23 of a Runge-Kutta embedding formula of orders 2 and 3, and ode 113 of the predictor-... 

MATLAB allows the user to choose the IVP integrator, such as ode23 or ode45 etc, and to select a stiff or nonstiff integrator, each as warranted by the specific problem. Moreover, each of the MATLAB s ODE solvers ode... allows us to specify certain options , as done in fluidbed.m in the fourth MATLAB command line options = odeset( RelTol ,10 -6, AbsTol ,10 -8, Vectorized , on ) for example. 

X method of MATLAB integrator odel5s, ode23, ode45, or odell3... 

For a set of the rate constant ki - Iq the system of ODE (10)-(13) was integrated by the Runge - Kutta method (2/3 order MATLAB command ode23 ). The resulting coverages 0 were used to compute the partial pressures of propane, CO and H2O. The object fiinction... 

Equations (F) to (H) correspond to a system of coupled, nonlinear differential equations that may be combined with the rate laws in equations (C) to (E) and integrated numerically using any suitable engineering software, such as the odel5 or ode23 commands in Matlab. The results for the product species concentrations are shown in the PER panel in Figure 19.5. 

MATLAB has two new stiff integration routines. These are ode 15s and ode23s. The routine odelSs is a variable order (up to order 5) and a variable step size program that is based upon the Klopfenstein modification of classical backward difference formulas called numerical differential formulas (Klopfenstein, 1971). Standard backward difference formulas are also available as an option. In order to determine optimum step size and speed convergence of the implicit corrector formulas, the method depends upon the Jacobian, J, of the derivative function / in... 

---