A comparison of extended runge-kutta formulae based on variety of means to solve system of ivps

DOI10.1080/00207160108805108zbMath1009.65046OpenAlexW2084749963MaRDI QIDQ4780550

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

Publication date: 6 February 2003

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

Full work available at URL: https://doi.org/10.1080/00207160108805108

zbMATH Keywords

algorithmsinitial value problemsarithmetic meangeometric meanharmonic meancontraharmonic meanroot mean squareHeronian meansystem of linear differential equationscentroidal meanRunge-Kutta formula

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

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 ⋮ Numerical solution of second-order robot arm control problem using Runge–Kutta–Butcher algorithm

Cites Work

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• Analysis of electronic circuits using the single-term Walsh series approach
• Non-dissipative extended one-step methods for oscillatory problems
• New runge kutta starters for multistep methods
• A comparison of modified runge-kutta formulas based on a variety of means
• A new fourth order runge-kutta formula based on the harmonic mean
• A fourth order runge-kutta method based on the heronian mean formula
• Analysis of nonlinear singular systems via stws method

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