Explicit Runge-Kutta Method With Trigonometrically-Fitted For Solving First Order ODEs.

Autor: Fawzi, Firas Adel, Senu, N., Ismail, F., Majid, Z. A.
Předmět:
Zdroj: AIP Conference Proceedings; 2016, Vol. 1739 Issue 1, p020044-1-020044-7, 7p, 1 Chart, 5 Graphs
Abstrakt: In this note, an explicit trigonometrically-fitted (RK) method is developed to determine the approximate solution of the first-order IVPs with oscillatory solution. The proposed method solves first order ODEs by first converting the second order ODEs to an equivalent first order; which is based on the RK method of order four. The numerical experiment performed shows the efficacy of our newly developed method. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index