New results on the analytic summation of Adomian series for some classes of differential and integral equations

作者：El Kalla I L^*

来源：Applied Mathematics and Computation, 2010, 217(8): 3756-3763.

DOI：10.1016/j.amc.2010.09.034

• Ordinary differential equations
• Partial differential equations
• Integral equations
• Adomian method

In this paper, we demonstrate that an infinite 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 differential and integral equations.

• 出版日期2010-12-15