New runge kutta starters for multistep methods

DOI10.1080/00207169908804796zbMath0934.65075OpenAlexW1535122194MaRDI QIDQ4254596

A. R. Yaakub, David J. Evans

Publication date: 3 April 2000

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169908804796

zbMATH Keywords

numerical exampleRunge-Kutta methodmultistep method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (9)

A Fourth Order Embedded Runge-Kutta RKACeM(4,4) Method Based on Arithmetic and Centroidal Means with Error Control ⋮ A Fifth Order Runge-Kutta RK(5, 5) Method With Error Control ⋮ A comparison of extended runge-kutta formulae based on variety of means to solve system of ivps ⋮ Analysis of linear and nonlinear stiff problems using the RK-Butcher algorithm ⋮ Numerical strategies for the system of first-order IVPS using the RK–Butcher algorithm ⋮ RK–Butcher algorithms for singular system-based electronic circuit ⋮ Non-linear singular systems using RK–Butcher algorithms ⋮ Optimal control of singular systems using the rk–butcher algorithm ⋮ Numerical solution of second-order robot arm control problem using Runge–Kutta–Butcher algorithm

Cites Work

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• Solving optimisation problems using neucomp-a neural network compiler
• Runge-Kutta Starters for Multistep Methods
• A new fourth order runge-kutta formula based on the harmonic mean

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