Four step implicit block method of Runge-Kutta type for solving first order ordinary differential equations
| Autor: | Hazwani Mohd Radzi, Mohamed Suleiman, Fudziah Ismail, Zanariah Abdul Majid |
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| Rok vydání: | 2011 |
| Předmět: |
Backward differentiation formula
Runge–Kutta methods Ordinary differential equation Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Numerical methods for ordinary differential equations Explicit and implicit methods Initial value problem Bogacki–Shampine method Mathematics::Numerical Analysis Numerical stability Mathematics |
| Zdroj: | 2011 Fourth International Conference on Modeling, Simulation and Applied Optimization. |
| DOI: | 10.1109/icmsao.2011.5775471 |
| Popis: | In this paper, a four step implicit block method for solving first order ordinary differential equations (ODEs) is proposed. The method approximates the solutions of initial value problems at four-point mesh simultaneously using variable step size. This four step implicit method is of the multistep type but it is implemented as the Runge-Kutta type. The stability regions of the method are also studied. Numerical results are presented to show the efficiency of the proposed block method. |
| Databáze: | OpenAIRE |
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