Fourth-order improved Runge-Kutta method for directly solving special third-order ordinary differential equations

DOI10.1007/s40995-017-0258-1zbMath1380.65122OpenAlexW2625235567MaRDI QIDQ1696096

Norazak Senu, Faranak Rabiei, Kasim Abbas Hussain, Fudziah Bt. Ismail

Publication date: 14 February 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0258-1

zbMATH Keywords

ordinary differential equationsRunge-Kutta methodIRKD methodspecial third-order

Mathematics Subject Classification ID

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

Related Items (3)

A sixth‐order improved <scp>Runge–Kutta</scp> direct method for special third‐order ordinary differential equations ⋮ Solving higher order nonlinear ordinary differential equations with least squares support vector machines ⋮ Direct integrators for the general third-order ordinary differential equations with an application to the Korteweg-de Vries equation

Cites Work

• Solving nonstiff higher order ODEs directly by the direct integration method
• A P-Stable Linear Multistep Method For Solving General Third Order Ordinary Differential Equations
• A class of hybrid collocation methods for third-order ordinary differential equations
• Numerical Methods for Ordinary Differential Equations
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