Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630802 | Applied Mathematics and Computation | 2011 | 9 Pages |
Abstract
We present a new third order method for finding multiple roots of nonlinear equations based on the scheme for simple roots developed by Kou et al. [J. Kou, Y. Li, X. Wang, A family of fourth-order methods for solving non-linear equations, Appl. Math. Comput. 188 (2007) 1031-1036]. Further investigation gives rise to new third and fourth order families of methods which do not require second derivative. The fourth order family has optimal order, since it requires three evaluations per step, namely one evaluation of function and two evaluations of first derivative. The efficacy is tested on a number of relevant numerical problems. Computational results ascertain that the present methods are competitive with other similar robust methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Janak Raj Sharma, Rajni Sharma,