期刊
KYBERNETES
卷 31, 期 1, 页码 61-75出版社
EMERALD
DOI: 10.1108/03684920210413764
关键词
numerical methods; models
We prove in this paper the convergence of Adomian method applied to linear or nonlinear 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 u(0) of Adomian senses 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.
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