High order integration formula using trigonometric polynomials for periodic ivps

Abstract

An interesting and important class of initial value problems which can arise in practice consists of problems whose solutions are known to be periodic, or to oscillate with a known frequency (Lambert [1973]). If this frequency, or a reasonable estimate for it is known in advance, then a class of methods based on trigonometrical polynomials, developed by Gautschi [1961] is particularly appropriate. The linear multistep method of order p may be defined by the requirement.

Keywords:

• Trignometric Polynomial
• Integration Formula
• Periodic IVP

C.R.Categories:

• G.1.7

^∗Universiti UTARA Malaysia (UUM).

^†Nottingham Trent University, Nottingham

^∗Universiti UTARA Malaysia (UUM).

^†Nottingham Trent University, Nottingham

Notes

^∗Universiti UTARA Malaysia (UUM).

^†Nottingham Trent University, Nottingham