Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1063.65060
Psihoyios, G.; Simos, T.E.
A fourth algebraic order trigonometrically fitted predictor-corrector scheme for IVPs with oscillating solutions. (English)
[J] J. Comput. Appl. Math. 175, No. 1, 137-147 (2005). ISSN 0377-0427

Summary: A scheme of trigonometrically fitted predictor-corrector (P-C) Adams-Bashforth-Moulton methods is constructed. Our new P-C method is based on the third order Adams-Bashforth scheme (as predictor) and on the fourth order Adams-Moulton scheme (as corrector). We test the efficiency of our newly developed scheme against well known methods, with excellent results. The numerical experimentation showed that our method is considerably more efficient compared to well known methods used 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: Initial value problems; Adams-Bashforth methods; Adams-Moulton methods; Predictor-corrector methods; Trigonometric fitting; Multistep methods; Numerical examples; Comparison of methods; Oscillating solutions

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]