Back to Search
Start Over
An improvement to double-step Newton method and its multi-step version for solving system of nonlinear equations and its applications.
- Source :
-
Numerical Algorithms . Feb2017, Vol. 74 Issue 2, p593-607. 15p. - Publication Year :
- 2017
-
Abstract
- In this work, we have improved the order of the double-step Newton method from four to five using the same number of evaluation of two functions and two first order Fréchet derivatives for each iteration. The multi-step version requires one more function evaluation for each step. The multi-step version converges with order 3 r+5, r≥1. Numerical experiments are done comparing the new methods with some existing methods. Our methods are also tested on Chandrasekhar's problem and the 2-D Bratu problem to illustrate the applications. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 74
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 120846352
- Full Text :
- https://doi.org/10.1007/s11075-016-0163-2