Oscillation analysis of numerical solutions in the theta-methods for differential equation of advanced type

摘要

The paper deals with the oscillation analysis of numerical solution in the theta-methods for differential equations with piecewise constant arguments of advanced type. The conditions of the oscillation for the theta-methods are obtained. It is proved that the oscillation of the analytic solution is preserved by the theta-methods. Some numerical experiments are given. Copyright (C) 2015 JohnWiley & Sons, Ltd.