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Stepsize control of the finite difference method for solving ordinary differential equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Salkuyeh, Davod Khojasteh |
| Copyright Year | 2009 |
| Abstract | 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. Keywords—ordinary differential equations, optimal stepsize, error, stochastic arithmetic, CESTAC, CADNA. |
| Starting Page | 757 |
| Ending Page | 761 |
| Page Count | 5 |
| File Format | PDF HTM / HTML |
| Volume Number | 3 |
| Alternate Webpage(s) | https://staff.guilan.ac.ir/staff/users/salkuyeh/fckeditor_repo/file/Own%20papers/Stepsize-ODE.pdf |
| Alternate Webpage(s) | http://waset.org/publications/11434/stepsize-control-of-the-finite-difference-method-for-solving-ordinary-differential-equations |
| Alternate Webpage(s) | https://waset.org/publications/11434/stepsize-control-of-the-finite-difference-method-for-solving-ordinary-differential-equations |
| Alternate Webpage(s) | http://www.waset.org/journals/waset/v33/v33-170.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
