Stability of generalized Runge–Kutta methods for stiff kinetics coupled differential equations

DOI10.1088/0305-4470/39/8/006zbMath1087.65077OpenAlexW2075525829MaRDI QIDQ3379355

Ahmed E. Aboanber

Publication date: 6 April 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/8/006

zbMATH Keywords

stabilitynumerical examplesRunge-Kutta methodsButcher series

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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)

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Generalization of the analytical exponential model for homogeneous reactor kinetics equations ⋮ Generalized trigonometric Fourier-series method with automatic time step control for non-linear point kinetics equations

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