![Sample our Computer Science journals, sign in here to start your access, latest two full volumes FREE to you for 14 days]({"type":"image" , "src" : "/sda/5928/TOC-Subject-Sample-2021-Computer-Science.jpg"})
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.