Extended Newton's method for a system of nonlinear equations by modified Adomian decomposition method

Applied Mathematics and Computation

Volumn 170, Issue 1, 2005, Pages 648-656

  Abbasbandy, S ^a,b  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b IMAM KHOMEINI INTERNATIONAL UNIVERSITY   (Iran)

Author keywords

Adomian decomposition method; Newton's method; System of nonlinear equations

Indexed keywords

ALGORITHMS; DECOMPOSITION;

ADOMIAN DECOMPOSITION METHOD; NEWTON'S METHOD; SYSTEM OF NONLINEAR EQUATIONS;

NONLINEAR EQUATIONS;

EID: 26844495279     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.12.048     Document Type: Article

References (11)

1. G. Adomian Nonlinear Stochastic Systems and Applications to Physics 1989 Kluwer Academic Publishers Dordrecht
2. G. Adomian Solving Frontier Problems of Physics: the Decomposition Method 1994 Kluwer Academic Publishers Dordrecht
3. Y. Cherruault, Modèles et Méthodes Mathématiques pour les Sciences du Vivant, Presses Universitaires de France, 1998.
4. K. Abbaoui, and Y. Cherruault Convergence of Adomian's method applied to nonlinear equations Math. Comput. Model. 20 1994 69 73
5. E. Babolian, and J. Biazar Solution of nonlinear equations by modified Adomian decomposition method Appl. Math. Comput. 132 2002 167 172
6. S. Abbasbandy Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method Appl. Math. Comput. 145 2003 887 893
7. J.E. Dennis JR., and R.B. Schnabel Numerical Methods for Unconstrained Optimization and Nonlinear Equations 1983 Prentice-Hall, Inc. New Jersey
8. K. Abbaoui, Y. Cherruault, and V. Seng Practical formulae for the calculus of multivariable Adomian polynomials Comput. Model. 22 1995 89 93
9. Y. Cherruault, and G. Adomian Decomposition methods: a new proof of convergence Math. Comput. Model. 18 1993 103 106
10. Y. Cherruault, Optimisation: Méthodes locales et globales, Presses Universitaires de France, 1999.
11. E. Babolian, J. Biazar, and A.R. Vahidi Solution of a system of nonlinear equations by Adomian decomposition method Appl. Math. Comput. 150 2004 847 854