학술논문
A Two-Step Trigonometrically Fitted Semi-Implicit Hybrid Method for Solving Special Second Order Oscillatory Differential Equation.
Document Type
Article
Author
Source
Subject
*TRIGONOMETRIC functions
*NUMERICAL solutions to differential equations
*NUMERICAL integration
*IMPLICIT functions
*ORDINARY differential equations
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Language
ISSN
1823-8343
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. [ABSTRACT FROM AUTHOR]