On the Two-step Newton Method for the Solution of Nonlinear Operator Equations
✍ Scribed by J. Appell; E. De Pascale; N. A. Evkhuta; P. P. Zabrejko
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 364 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Building on the method of Kantorovich majorants, we give convergence results and error estimates for the two-step Newton method for the approximate solution of a nonlinear operator equation.
📜 SIMILAR VOLUMES
## Abstract In this paper, the homotopy perturbation method is used to implement the nonlinear Korteweg–de Vries equation. The analytical solution of the equation is calculated in the form of a convergent power series with easily computable components. A suitable choice of an initial solution can l
The paper deals with the boundary value problem for a nonlinear integro-differential equation modeling the dynamic state of the Timoshenko beam. To approximate the solution with respect to a spatial variable, the Galerkin method is used, the error of which is estimated.