Nanocomposite magnets are of importance because they are expected to provide a very high maximum‐energy product. Here is presented a route to α‐Fe/Sm2(Fe,Si)17Cx nanocomposite magnets with fine grain size below 10 nm. Annealing amorphous Sm8Fe85‐Si2C5 alloy under high pressure gives nanocomposite magnets (see Figure) with significantly increased coercivity and remnant magnetization.
In this paper, we propose a novel collocation method based on hybrid functions to identify the parameters and differential orders of fractional order systems (FOS). The hybrid functions consist of block-pulse functions and Taylor polynomials. The analytical form of Riemann–Liouville fractional order integral operator of these hybrid functions is derived using the Laplace transform. Then the integral operator is utilized, in conjunction with collocation points, to convert the FOS into an algebraic system directly. The parameters and differential orders of the FOS are estimated by minimizing the error between the output of the actual system and that of the estimated system. The effectiveness of the proposed method is verified through four examples.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.