Author/Authors :
SENU, NORAZAK Universiti Putra Malaysia - Fakulti Sains - Jabatan Matematik, Malaysia , SULEIMAN, MOHAMED Universiti Putra Malaysia - Fakulti Sains - Jabatan Matematik, Malaysia , ISMAIL, FUDZIAH Universiti Putra Malaysia - Fakulti Sains - Jabatan Matematik, Malaysia , OTHMAN, MOHAMED Universiti Putra Malaysia - Fakulti Sains Komputer dan Teknologi Maklumat - Jabatan Teknologi Komunikasi dan Rangkaian, Malaysia
Abstract :
A new embedded 4(3) pair explicit four-stage fourth-order Runge-Kutta-Nyström (RKN) method was developed to integrate second-order differential equations of the form y = f (x, y) where the solution was oscillatory. Presented is a method which has high order dispersion with a ‘small’ principal local truncation error coefficient. The stability analysis of the method derived is also given. Numerical comparisons of this new method with RK4(3) and RKN4(3)D methods show its clear advantage in terms of function evaluations and computation time.
Keywords :
Oscillatory solutions , Phase , lag , Runge , Kutta , Nyström methods
