Methods of solving stiff ordinary differential equations. Results of test calculations
Abstract:
The aim of this paper is to research the (m,k)-method, CROS, finite superelement method and 4-stage explicit Runge-Kutta method of solving stiff systems of ordinary differential equations. Analysis of tests results showed that the optimal choice for systems with high stiffness is the CROS. The finite superelement method is the «precise» method of solving linear systems of ordinary differential equations, the optimal supporting method for its implementation is the (4,2)-method. The variation of the finite superelement method has been built and tested for solving nonlinear problems, this method proved to be unsuitable for problems with high stiffness.
