%0 Journal Article
%T Stepsize Selection in Explicit Runge-Kutta Methods for Moderately Stiff Problems
%A Justin Steven Calder Prentice
%J Applied Mathematics
%P 711-717
%@ 2152-7393
%D 2011
%I Scientific Research Publishing
%R 10.4236/am.2011.26094
%X We present an algorithm for determining the stepsize in an explicit Runge-Kutta method that is suitable when solving moderately stiff differential equations. The algorithm has a geometric character, and is based on a pair of semicircles that enclose the boundary of the stability region in the left half of the complex plane. The algorithm includes an error control device. We describe a vectorized form of the algorithm, and present a corresponding MATLAB code. Numerical examples for Runge-Kutta methods of third and fourth order demonstrate the properties and capabilities of the algorithm.
%K Moderately Stiff Problems
%K Runge-Kutta
%K Stepsize
%K Jacobian
%K Stability Region
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=5294