On an Inverse Free Steffensen-Type Method for the Approximation of Stiff Differential Equations
| Autor: | Miguel Ángel Hernández-Verón, M. J. Rubio, Miquel Grau-Sánchez, Sonia Busquier, Sergio Amat |
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| Rok vydání: | 2018 |
| Předmět: |
Control and Optimization
Recurrence relation 010102 general mathematics Inverse Derivative Type (model theory) System of linear equations 01 natural sciences Stiff equation Computer Science Applications 010101 applied mathematics Rate of convergence Signal Processing Convergence (routing) Applied mathematics 0101 mathematics Analysis Mathematics |
| Zdroj: | Numerical Functional Analysis and Optimization. 40:119-133 |
| ISSN: | 1532-2467 0163-0563 |
| Popis: | In this article, an inverse free Steffensen-type method is introduced. The method is applied to approximate the systems of equations associated to implicit schemes approximating a stiff differential equation. The method has quadratic convergence without evaluating neither any derivative nor inverse operator. Finally, hypotheses ensuring the semilocal convergence and the R-order of convergence are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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