Some observations concerning third‐ and fourth‐order iterative methods
✍ Scribed by Melville, John
- Book ID
- 126579329
- Publisher
- Taylor and Francis Group
- Year
- 1995
- Tongue
- English
- Weight
- 396 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0020-739X
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📜 SIMILAR VOLUMES
We apply a family of iterative methods to the problem of extracting the \(n\)th root of a positive number \(R\), that is, to solve the nonlinear equation \(t^{n}-R=0\). For each value of \(n\) we obtain the method in the family for which the highest order of convergence is reached.
We study the convergence and performance of iterative methods with the fourth-order compact discretization schemes for the one-and two-dimensional convection-diffusion equations. For the one-dimensional problem, we investigate the symmetrizability of the coefficient matrix and derive an analytical f