Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution. (English) Zbl 1062.65075

Summary: A dissipative trigonometrically-fitted two-step explicit hybrid method is constructed. This method is based on a dissipative explicit two-step method developed recently by C. Tsitouras [Comput. Math. Appl. 43, No. 8–9, 943–949 (2002; Zbl 1050.65071)]. Numerical examples show that the procedure of trigonometrical fitting is an efficient way for one to produce numerical methods for the solution of second-order linear initial value problems (IVPs) with oscillating solutions.


65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations
65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems


Zbl 1050.65071
Full Text: DOI


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