A PAIR OF ZERO DISSIPATIVE EXPLICIT HYBRID METHODS FOR SOLVING OSCILLATORY PROBLEMS
F. SAMAT *
Department of Mathematics, Faculty of Science and Mathematics, Universiti Pendidikan Sultan Idris, Tanjung Malim, Perak, Malaysia.
M. SULEIMAN
Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Selangor, Malaysia.
*Author to whom correspondence should be addressed.
Abstract
A pair of embedded explicit hybrid methods is developed for solving oscillatory second order ordinary dierential equations of the form y'' = f(x; y). The pair has algebraic orders six and four. The sixth and the fourth order methods are both zero dissipative. The sixth order method is also being phase-tted. Numerical comparisons show that the new pair is very competitive when compared with FRKN4(3) method.
Keywords: Hybrid methods, second order ordinary differential equations, oscillatory problems