A general four-parameter non-FSAL embedded Runge-Kutta algorithm of orders 6 and 4 in seven stages

DOI10.1016/S0096-3003(02)00358-2zbMath1025.65040OpenAlexW2048869785MaRDI QIDQ1399789

M. M. M. Eisa, Moawwad E. A. El-Mikkawy

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00358-2

zbMATH Keywords

comparison of methodsnumerical examplesinitial value problemsorder conditionsembedded Runge-Kutta algorithmFSALMATLAB function ode45

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)

Uses Software

• Matlab
• ode45

Cites Work

• Unnamed Item
• A family of embedded Runge-Kutta formulae
• Explicit Runge–Kutta Pairs with One More Derivative Evaluation than the Minimum