Besides of accuracy, there also exist the criterions of computational efficiency and universality. Sometimes versatility, convenience and elaboration of method mean more, than precision. As far as I remember, AEM also possess several additional restrictions being implemented in real applications.

My knowledge of FA method is very limited but I am not sure if one can say a-priori that the accuracy is higher than any FDM/FEM. I know that the key of FAM is in the introduction of the power series, thus we should focus on the properties of this latter.

However I wonder what can FAM do in general problems where the local solution cannot be determined.

I am curious about the answers from experts in this method.

@Jibeminiyi Sobamowo

Domain of applicability,simplicity are the necessary criteria for widely used.

Hope you will understand this .

B.Rath

The choice of method depends on the desired accuracy, as well as, concerns about the stability and robustness of the system while maintaining computational efficiency and universality. As rightly pointed out by Butusov, sometimes versatility, convenience and elaboration of method mean more, than precision. Finite analytic method possesses several additional restrictions that limit its wide applications and universality.