Algebraic and differential equations generally co-build mathematical models. Either lack or intractability of their analytical solution often forces workers to resort to an iterative method and face the likely challenges of slow convergence, non-convergence or even divergence. This manuscript presen
A geometric construction of iterative functions of order three to solve nonlinear equations
β Scribed by Changbum Chun
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 167 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
A family of three-point iterative methods for solving nonlinear equations is constructed using a suitable parametric function and two arbitrary real parameters. It is proved that these methods have the convergence order eight requiring only four function evaluations per iteration. In this way it is
We extend to n-dimensional case a known multi-point family of iterative methods for solving nonlinear equations. This family includes as particular cases some well known and also some new methods. The main advantage of these methods is they have order three or four and they do not require the evalua
The variational iteration method is introduced to solve a nonlinear system of second-order boundary value problems. Numerical results demonstrate that this method is promising and readily implemented.