Perturbative derivation and comparisons of root-finding algorithms with fourth order derivatives

Mathematical and Computational Applications

Volumn 12, Issue 2, 2007, Pages 117-124

  Pakdemirli, M ^a   Boyaci, H ^a   Yurtsever, H A ^b  

^a CELAL BAYAR UNIVERSITY   (Turkey)

^b GEORGETOWN UNIVERSITY   (United States)

Author keywords

Newton Raphson method; Perturbation theory; Root finding algorithms

Indexed keywords

ALGORITHMS; NEWTON-RAPHSON METHOD; NUMERICAL METHODS; TAYLOR SERIES;

PERTURBATION EXPANSIONS; PERTURBATION THEORY; ROOT FINDING ALGORITHMS;

PERTURBATION TECHNIQUES;

EID: 33847732623     PISSN: 1300686X     EISSN: None     Source Type: Journal    
DOI: 10.3390/mca12020117     Document Type: Article

References (5)

1. 1.A. H. Nayfeh, Introduction to Perturbation Techniques, John Wiley and Sons, New York, 1981.
2. E. J. Hinch, Perturbation Methods, Cambridge University Press, New York, 1991.
3. A. S. Householder, The Numerical Treatment of a Single Nonlinear Equation, McGraw-Hill, New York, 1970.
4. M. Pakdemirli, and H. Boyaci, Generation of root finding algorithms via perturbation theory and some formulas, Applied Mathematics and Computation (in press).
5. S. Abbasbandy, Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method, Applied Mathematics and Computation 145, 887-893, 2003.