Explicit, two-stage, sixth-order, hybrid four-step methods for solving y′′(x)=f(x,y)-Reference-Cited by-同舟云学术

Explicit, two-stage, sixth-order, hybrid four-step methods for solving y′′(x)=f(x,y)

Published:2018-09-03 Issue:16 Volume:41 Page:6997-7006
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Medvedev Maxim A.¹,Simos T. E.²³⁴^ORCID,Tsitouras Ch.³^ORCID

Affiliation:

1. Institute of Industrial Ecology UB RAS; Ural Federal University; Yekaterinburg Russia

2. Department of Mathematics, College of Sciences; King Saud University; Riyadh Saudi Arabia

3. Department of Automation Engineering; TEI of Sterea Hellas; Psachna Greece

4. Section of Mathematics, Department of Civil Engineering; Democritus University of Thrace; Xanthi Greece

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/mma.5211/fullpdf

Reference55 articles.

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2. Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems;Simos;Appl Math Lett,2009

3. Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation;Simos;Acta Appl Math,2010

4. Trigonometric fitted explicit Numerov type method with vanishing phase-lag and its first and second derivatives;Tsitouras;Mediterr J Math,2018

5. Symbolic derivation of Runge-Kutta order conditions;Famelis;J Symb Comput,2004

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