Efficient Exponential Fitting Algorithm with Two Fitting Parameters for Oscillation Problems
Conference paper > Full Text
Authors: Turgut Ozis, Utku Erdogan, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi
AIP Conference Proceedings, , , International, Full Text, Scopus, pp 1594-1596
DOI: 10.1063/1.3637936
Summary
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.