A convergence analysis of the ADM and an application

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摘要

In this paper by considering the decomposition scheme, we solve the modified Korteweg–de Vries equation (MKdV for short) for the initial condition. We prove the convergence of Adomian decomposition method (ADM) applied to the MKdV equation.

论文关键词：The decomposition method,Modified Korteweg–de Vries equation,The self-canceling noise terms,The convergence of Adomian decomposition method

论文评审过程：Available online 20 February 2004.

论文官网地址：https://doi.org/10.1016/j.amc.2003.12.063