A note on the decomposition method for operator equations

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摘要

We show for linear operator equations that Adomian's decomposition method is equivalent to the classical method of successive approximations (Picard iterations). Hence, in contrast to previous claims, it is no more rapidly convergent than previous methods and may in fact be divergent.

论文关键词:Linear operator equations,Adomian's method,Convergence,Successive approximations

论文评审过程:Available online 14 October 1999.

论文官网地址:https://doi.org/10.1016/S0096-3003(98)10124-8