A Fourth Order Embedded Runge-Kutta RKACeM(4,4) Method Based on Arithmetic and Centroidal Means with Error Control

DOI10.1080/00207160211925zbMath1007.65049OpenAlexW2072922264MaRDI QIDQ4780535

D. Paul Dhayabaran, K. Murugesan, E. C. Henry Amirtharaj, David J. Evans

Publication date: 20 March 2003

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

Full work available at URL: https://doi.org/10.1080/00207160211925

zbMATH Keywords

comparison of methodsarithmetic meanerror controlcentroidal meanRunge-Kutta Merson methodRunge-Kutta Fehlberg methodfourth-order Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (8)

Numerical Strategy For The System Of Second Order Ivps Using RK Method Based On Centroidal Mean ⋮ 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 ⋮ Observer design of singular systems (transistor circuits) using the RK–Butcher algorithms ⋮ 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 ⋮ A new fourth order embedded \(\text{RKAHeM}(4,4)\) method with error control on multilayer raster cellular neural network

Cites Work

• Analysis of electronic circuits using the single-term Walsh series approach
• Analysis of different second order systems via runge-kutta method
• New runge kutta starters for multistep methods
• A fourth order Runge–Kutta RK(4,4) method with error control
• A new fourth order runge-kutta formula based on the harmonic mean
• A fourth order runge-kutta method based on the heronian mean formula
• A new Runge Kutta RK(4, 4) method
• Comparing Numerical Methods for Ordinary Differential Equations
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