On the order of convergence of Adomian method

Applied Mathematics and Computation

Volumn 130, Issue 2-3, 2002, Pages 383-387

  Babolian, E ^a   Biazar, J ^b  

^a KHARAZMI UNIVERSITY   (Iran)

^b UNIVERSITY OF GUILAN   (Iran)

Author keywords

Adomian's polynomials; Decomposition method

Indexed keywords

EID: 0037102888     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00103-5     Document Type: Article

References (12)

1. G. Adomian G.E. Adomian A global method for solution of complex systems Math. Model. 5 1984 521 568
2. G. Adomian R. Rach On the solution of algebraic equations by the decomposition method Math. Anal. Appl. 105 1 1985 141 166
3. G. Adomian R. Rach D. Sarafyan On the system of equations containing radicals J. Math. Anal. Appl. 111 2 1985 423 426
4. Y. Cherruault Convergence of Adomian's method Kyberneters 8 2 1988 31 38
5. G. Adomian D. Sarafyan Numerical solution of differential equations in the deterministic limit of stochastic theory Appl. Math. Comput. 8 1981 111 119
6. G. Adomian R. Rach Non-linear stochastic differential delay equations J. Math. Anal. Appl. 91 1 1983
7. R. Bellman G. Adomian Partial Differential Equations 1985 Reidel Dordrecht
8. G. Adomian Convergent series solution of non-linear equations J. Comput. Appl. Math. 11 1964 225 230
9. G. Adomian Non-linear stochastic dynamical systems in physical problems J. Math. Anal. Appl. 111 1 1985
10. K. Abbaoui Y. Cherruault Convergence of Adomian's method applied to non-linear equations Math. Compact. Model. 20 9 1994 69 73
11. L. Chambadal Dictionnaire de Mathematiques 1981 Hachette Paris
12. T.L. Saaty J. Bram Nonlinear Mathematics 1964 McGraw-Hill New York