ON THE CONSTRUCTION OF EFFICIENT METHODS FOR SECOND ORDER IVPS WITH OSCILLATING SOLUTION

T. E. Simos () and Jesus Vigo Aguiar
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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
Jesus Vigo Aguiar: Departamento de Matematica Aplicada, Facultad de Ciencias, Universidad de Salamanca, E-37008 Salamanca, Spain

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 10, 1453-1476

Abstract: In this paper we describe procedures for the construction of efficient methods for the numerical solution of second order initial value problems (IVPs) with oscillating solutions. Based on the described procedures we develop two simple and efficient multistep methods for the solution of the above problems. The first method is exponentially-fitted and trigonometrically-fitted and the second has a minimal phase-lag. Both methods are symmetric. Numerical results obtained for several well known problems show the efficiency of the new methods when they are compared with known methods in the literature.

Keywords: Numerical solution; Initial-Value Problems (IVPs); explicit methods; exponential fitting; phase-lag; multistep methods (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101002826

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