Name
Abstract | ||
|---|---|---|
The Adomian method is a strong tool for solving partial and ordinary differential equations [Cherruault, Y. and N'Dour, M. (1997). The decomposition method applied to a diffusion model, Kybernetes , 26 , No. 8, 921-935; Wazwaz, A. M. (1998). A comparison between Adomian decomposion method and Taylor series method in the series solutions, Appl. Math. Comput. 97 , 37-44.] In this paper, we apply a new algorithm named the restarted Adomian method used for solving algebraic equations and nonlinear integral equations [Babolian, E. and Javadi, Sh. (2003). Restarted Adomian method for algebraic equations, Appl. Math. Comput. , 146 , 533-541; Babolian, E., Javadi, Sh. and Sadeghi, H. Restarted Adomian method for nolinear integral equations, Appl. Math. Comput. , 153 , 353-359.]. By some examples and comparing results in both the methods (restarted and standard Adomian method) with exact solution, we show that the new method gives better numerical results. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1080/00207160412331291071 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
Keywords | Field | DocType |
nonlinear differential equations, Restarted Adomian decomposition method | Exact solutions in general relativity,Mathematical optimization,Ordinary differential equation,Mathematical analysis,Integral equation,Decomposition method (constraint satisfaction),Algebraic equation,Nonlinear differential equations,Adomian decomposition method,Nonlinear integral equation,Mathematics | Journal |
Volume | Issue | ISSN |
82 | 1 | 0020-7160 |
Citations | PageRank | References |
0 | 0.34 | 4 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| E. Babolian | 1 | 576 | 117.17 |
| H. Sadeghi Goghary | 2 | 28 | 3.74 |
| Sh. Javadi | 3 | 60 | 10.77 |
| M. Ghasemi | 4 | 81 | 8.39 |