A new results on the analytic summation of Adomian series for linear and nonlinear differential equations

International Journal of Applied Mathematics and Computation

Ibrahim Lotfi El-Kalla¹ 

[1] Mansoura University$$

关键词: Ordinary differential equations;    partial differential equations;    Adomian method;   

DOI  :  10.0000/ijamc.2010.2.2.168

来源: PSIT Kanpur

【 摘 要 】

In this paper, we demonstrate that an in.nite number of successive integration by parts can be written in a closed form. This closed form can be used directly to prove that the analytic summation of Adomian series becomes identical to the closed form solution for some classes of linear and nonlinear differential equations.

【 授权许可】

Unknown