A class of stabilized three-step Runge-Kutta methods for the numerical integration of parabolic equations

摘要

A class of explicit three-step Runge-Kutta methods is discussed for the numerical solution of initial value problems for systems of ordinary differential equations. Attention is focussed on systems which originate from parabolic partial differential equations by applying the method of lines. New stabilized schemes of first and second order are presented. Some numerical examples are discussed.