New numerical study of Adomian method applied to a diffusion model
Abstract
We prove in this paper the convergence of Adomian method applied to linear or non‐linear diffusion equations. The results show that the convergence of this method is not influenced by the choice of the linear inversible operator L in the equation to be solved. Furthermore we give some particular examples about a new canonical form where the initial value u0 of Adomian series is chosen in some special form which verifies the initial and boundary conditions. Then Adomian series converges to exact solution or all approximated (truncated series) solutions verify these conditions.
Keywords
Citation
Ngarhasta, N., Some, B., Abbaoui, K. and Cherruault, Y. (2002), "New numerical study of Adomian method applied to a diffusion model", Kybernetes, Vol. 31 No. 1, pp. 61-75. https://doi.org/10.1108/03684920210413764
Publisher
:MCB UP Ltd
Copyright © 2002, MCB UP Limited