Old Web
Third-order composite Runge–Kutta method for stiff problems
2005
The derivation of a composite method for solving stiff ordinary differential equations is discussed. Combination of the harmonic and arithmetic means of the Runge–Kutta formulation has resulted in the introduction of a new formula for the numerical solution of stiff ordinary differential equations. The numerical results and the A-stability of this new formula are examined.
Keywords:
- Mathematical optimization
- Stiff equation
- Explicit and implicit methods
- Backward differentiation formula
- Bogacki–Shampine method
- Numerical methods for ordinary differential equations
- Mathematical analysis
- Runge–Kutta methods
- Runge–Kutta method
- Mathematics
- Dormand–Prince method
- Collocation method
- Numerical stability
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
7
References
15
Citations
NaN
KQI