Zero-Dissipative Explicit Runge-Kutta Method for Periodic Initial Value Problems

In this paper zero-dissipative explicit Runge-Kutta
method is derived for solving second-order ordinary differential
equations with periodical solutions. The phase-lag and dissipation
properties for Runge-Kutta (RK) method are also discussed. The new
method has algebraic order three with dissipation of order infinity.
The numerical results for the new method are compared with existing
method when solving the second-order differential equations with
periodic solutions using constant step size.

• N. Senu
• I. A. Kasim
• F. Ismail
• N. Bachok

• Dissipation
• Oscillatory solutions
• Phase-lag
• Runge- Kutta methods.

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