A new formula of solving nonlinear equations by Adomian and homotopy methods

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摘要

A new formula combining Adomian and homotopy methods is presented. The traditional Newton–Raphson method is modified to a higher order form by Adomian and homotopy methods and the rule for the choice of the auxiliary homotopy function in the new formula is also provided.

论文关键词:Numerical method,Newton–Raphson method,Adomian,Homotopy continuation method

论文评审过程:Available online 22 April 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.02.035