Embedded explicit Runge-Kutta type methods for directly solving special third order differential equations \(y = f(x, y)\)

DOI10.1016/j.amc.2014.04.094zbMath1337.65077OpenAlexW2209402170MaRDI QIDQ279178

Mohammed S. Mechee, Norazak Senu, Fudziah Bt. Ismail, Zailan Siri

Publication date: 27 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.04.094

zbMATH Keywords

order conditionsembedded methodsRKD methodsthird-order ordinary differential equations

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (6)

Direct numerical methods for solving a class of third-order partial differential equations ⋮ A variable step-size fourth-derivative hybrid block strategy for integrating third-order IVPs, with applications ⋮ Two embedded pairs of Runge-Kutta type methods for direct solution of special fourth-order ordinary differential equations ⋮ Symbolic derivation of Runge-Kutta-Nyström type order conditions and methods for solving \(y' = f(x, y)\) ⋮ Direct integrators for the general third-order ordinary differential equations with an application to the Korteweg-de Vries equation ⋮ Explicit integrator of Runge-Kutta type for direct solution of \(u^{(4)} = f(x, u, u', u)\)

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