Fourth Order Runge-Kutta Method in Excel

Fourth Order Runge-Kutta Method in Excel [Pg.82]

The fourth order Runge-Kutta method is the workhorse for the numerical integration of ODEs. Elaborate routines with automatic step-size control are available in Matlab. [Pg.82]

we develop an Excel spreadsheet for the numerical integration of the reaction mechanism 2A k B based on the 4th order Runge-Kutta [Pg.82]

The 4th order Runge-Kutta method requires four evaluations of concentrations and derivatives per step. This appears to be a serious disadvantage, but as it turns out, significantly larger step sizes can be taken for an acceptable accuracy and overall the computation times are very much shorter. [Pg.82]

The 4th order Runge-Kutta method is reasonably complex. Without developing the equations, we demonstrate their application by applying them stepwise in an Excel spreadsheet that is written specifically for the reaction [Pg.83]

Big Chemical Encyclopedia