A Novel Variable Step-Size Algorithm for Implicit Integration
A new variable step-size numerical algorithm for implicit integration is discussed in this paper. The scheme for increase and decrease of step size is discussed according to the difference of output variable value. The next step size is calculated through the variable coefficient method and the limitation rules. The convergence and accuracy are testified by the simulation result. Compared with the common used ode45 algorithm, the algorithm has more computing efficiency with a certain calculation precision.
J. X. Zou et al., "A Novel Variable Step-Size Algorithm for Implicit Integration", Advanced Materials Research, Vols. 255-260, pp. 2159-2163, 2011