DISSIPATIVE TRIGONOMETRICALLY-FITTED METHODS FOR SECOND ORDER IVPs WITH OSCILLATING SOLUTION-Reference-Cited by-同舟云学术

DISSIPATIVE TRIGONOMETRICALLY-FITTED METHODS FOR SECOND ORDER IVPs WITH OSCILLATING SOLUTION

Published:2002-12 Issue:10 Volume:13 Page:1333-1345
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

SIMOS T. E.¹

Affiliation:

1. Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece

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.6 Numerical 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183102003954

Reference35 articles.

1. On finite difference methods for the solution of the Schrödinger equation

2. A family of Numerov-type exponentially fitted methods for the numerical integration of the Schrödinger equation

3. A family of hybrid exponentially fitted predictor-corrector methods for the numerical integration of the radial Schrödinger equation

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Computational approach for solving general second order ordinary differential equations via continuous implicit hybrid block methods capitalized;AIP Conference Proceedings;2024

2. A Family of Functionally-Fitted Third Derivative Block Falkner Methods for Solving Second-Order Initial-Value Problems with Oscillating Solutions;Mathematics;2021-03-25

3. Hybrid Hybrid one step trigonometrically scheme with oscillatory solutions for solving initial value problems of second order;Journal of Physics: Conference Series;2021-01-01

4. Hybrid-Block Numerical Method for Solving Second Order Ordinary Differential Equations;City University International Journal of Computational Analysis;2020-02-03

5. Functionally Fitted Block Method for Solving the General Oscillatory Second-Order Initial Value Problems and Hyperbolic Partial Differential Equations;Mathematical Problems in Engineering;2019-02-26