Partitioning ordinary differential equations using Runge-Kutta methods

DOI10.1016/0096-3003(95)00247-2zbMath0871.65069OpenAlexW2047347911MaRDI QIDQ1354231

Fudziah Bt. Ismail, Kamel Ariffin B. M. Atan, Mohamed Bin Suleiman

Publication date: 7 October 1997

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

Full work available at URL: http://psasir.upm.edu.my/id/eprint/41072/1/Partitioning%20ordinary%20differential%20equations%20using%20Runge-Kutta%20methods.pdf

zbMATH Keywords

numerical resultsstiff systempartitioning strategysemi-implicit Runge-Kutta 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) Multiple scale methods for ordinary differential equations (34E13)

Related Items (4)

Automatic intervalwise block partitioning using Adams type method and backward differentiation formula for solving ODEs ⋮ Embedded singly diagonally implicit runge-kutta methods (4,5) in (5,6). for the integration of stiff systems of odes ⋮ Solving delay differential equations using intervalwise partitioning by Runge-Kutta method ⋮ Solving delay differential equations using componentwise partitioning by Runge-Kutta method

Cites Work

• Partitioned Runge-Kutta methods with stiffness detection and stepsize control
• Partitioned adaptive Runge-Kutta methods for the solution of nonstiff and stiff systems
• Using nonconvergence of iteration to partition ODEs
• Type-Insensitive ODE Codes Based on Implicit A-Stable Formulas

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