Implicit one-step block hybrid third-derivative method for the direct solution of initial value problems of second-order ordinary differential equations

DOI10.1155/2017/8510948zbMath1437.65064OpenAlexW2574543379WikidataQ59145191 ScholiaQ59145191MaRDI QIDQ670458

Zurni Omar, Mohammad Alkasassbeh

Publication date: 18 March 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/8510948

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

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• A theory for Nyström methods
• Block third derivative method based on trigonometric polynomials for periodic initial-value problems
• Variable stepsize implementation of multistep methods for \(y\prime\prime =f(x,y,y^{\prime})\)
• Convergence and stability in the numerical integration of ordinary differential equations
• Families of three-stage third order Runge-Kutta-Nyström methods for y″ = f (x, y, y′)
• A Runge-Kutta for all Seasons

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