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Zbl 1027.65095
Psihoyios, G.; Simos, T.E.
Trigonometrically fitted predictor--corrector methods for IVPs with oscillating solutions. (English)
[J] J. Comput. Appl. Math. 158, No.1, 135-144 (2003). ISSN 0377-0427

Summary: We develop a trigonometrically fitted predictor-corrector (P-C) scheme, which is based on the well-known two-step second-order Adams-Bashforth method (as predictor) and on the third-order Adams-Moulton method (as corrector). Numerical experiments show that the new trigonometrically fitted P-C method is substantially more efficient than widely used methods for the numerical solution of initial-value problems (IVPs) with oscillating solutions.

MSC 2000:: *65L06 Multistep, Runge-Kutta, and extrapolation methods
65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general

Keywords: Numerical experiments; Initial-value problems; Predictor-corrector methods; Trigonometric fitting; Multistep methods; Adams-Bashforth-Moulton method; comparison of methods

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