Efficient Exponential Fitting Algorithm with Two Fitting Parameters for Oscillation Problems

Bildiriler > Tam Metin Bildiri

Yazarlar: Turgut Ozis, Utku Erdogan, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi

AIP Conference Proceedings, , , Uluslararası, Tam Metin Bildiri, Scopus, ss 1594-1596

DOI: 10.1063/1.3637936

Özet

In this paper we propose an exponential fitting (EF) method with two fitting parameters for solving initial value problem x″ = f(x(t),x′(t)) which has oscillatory solutions with varying amplitude. Local truncation error formula is used to determine these fitting parameters. Numerical examples are presented to show efficiency of the method for oscillatory problems in the long time integration.

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