Methods with O(H⁴) and O(H⁶) phase-lags for periodic initial value problems

Abstract

Two families of computational methods are discussed for the solution of second order periodic initial value problems.

The first is a family with O(H ⁴) phase-lag, the periodicity equation coinciding with the periodicity equations of a multiderivative method of the authors [6] and the “Numerov made explicit” method of Chawla [2], giving a periodicity interval of H ²∈(0,12).

The second is a family with O(H ⁶) phase-lag and periodicity interval also given by H ²∈(0,12).

Keywords:

• Periodic initial value problems
• phase-lag
• periodicity intervals

C.R. Category:

• G.1.7