A nonlinear explicit two-step fourth algebraic order method of order infinity for linear periodic initial value problems

作者：Stavroyiannis S^*; Simos T E

来源：Computer Physics Communications, 2010, 181(8): 1362-1368.

DOI：10.1016/j.cpc.2010.04.002

• Second-order linear initial value problem
• P-stability
• Infinite phase-lag order
• Vector product and quotient

We examine a nonlinear explicit two-step method of fourth algebraic order and infinite phase-lag order for solving one-dimensional second-order linear periodic initial value problems (IVPs) of ordinary differential equations. Applying special vector arithmetic with respect to an analytic function, the method can be extended to be vector-applicable for multidimensional problems. Numerical results to illustrate the efficiency of the method are presented and sensitivity analysis indicates the validity of the method in the frequency regime.

• 出版日期2010-8