Malaysian Journal of Mathematical Sciences, August 2016, Vol. 10(S)
Special Issue: The 7th International Conference on Research and Education in Mathematics (ICREM7)
A Two-Step Trigonometrically Fitted Semi-Implicit Hybrid Method for Solving Special Second Order Oscillatory Differential Equation
S. Z. Ahmad, F. Ismail, and N. Senu
Corresponding Email: sufia_zu1fa@yahoo.com
Received date: -
Accepted date: -
Abstract:
In this paper, we derived a semi-implicit hybrid method (SIHM) which is a two-step method to solve special second order ordinary differential equations (ODEs). The SIHM which is three-stage and fourth-order is then trigonometrically fitted and denoted by TF-SIHM3(4). The method is constructed using trigonometrically fitted properties instead of using phase-lag and amplification properties. Numerical integration show that TF-SIHM3(4) is more accurate in term of accuracy compared to the existing explicit and implicit methods of the same order.
Keywords: Semi-Implicit Hybrid Method, Two-step Methods, Oscillatory problems, Trigonometrically-fitted
Indexing
