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DISSIPATIVE TRIGONOMETRICALLY-FITTED METHODS FOR SECOND ORDER IVPsWITH OSCILLATING SOLUTION

T. E. Simos ()
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T. E. Simos: Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece

International Journal of Modern Physics C (IJMPC), 2002, vol. 13, issue 10, 1333-1345

Abstract: In this paper a dissipative trigonometrically-fitted two-step explicit hybrid method is developed. This method is based on a dissipative explicit two-step method developed recently by Papageorgiou, Tsitouras and Famelis.6Numerical examples show that the procedure of trigonometrical fitting is the only way in one to produce efficient dissipative methods for the numerical solution of second order initial value problems (IVPs) with oscillating solutions.

Keywords: Numerical solution; Initial-Value Problems (IVPs); explicit methods; hybrid methods; trigonometrical fitting; multistep methods; dissipative methods (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1142/S0129183102003954

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