Stepsize Control of the Finite Difference Method for Solving Ordinary Differential Equations
| Main Author: | Davod Khojasteh Salkuyeh |
|---|---|
| Format: | Article |
| Bahasa: | eng |
| Terbitan: |
, 2009
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/1077281 |
Daftar Isi:
- An important task in solving second order linear ordinary differential equations by the finite difference is to choose a suitable stepsize h. In this paper, by using the stochastic arithmetic, the CESTAC method and the CADNA library we present a procedure to estimate the optimal stepsize hopt, the stepsize which minimizes the global error consisting of truncation and round-off error.