An Integrodifferential Equation of Atomic Diffusion

Yuri A. Antipov

Chapter 6 in Integral Methods in Science and Engineering, 2002, pp 39-44 from Springer

Abstract: Abstract Antipov and Gao [1] analyzed the model problem of mass transport from a point source into an infinite grain boundary. The authors found the solution by quadratures, a series representation, and an asymptotic expansion for large arguments. It was also shown that the problem for a semi-infinite grain boundary is solvable in the same class as that for an infinite grain boundary. The authors pointed out that the method for the problem on an infinite boundary could be adjusted for the semi-infinite case. The complete solution was found for the infinite grain boundary only. Here the case of a semi-infinite grain boundary is analyzed. The problem of atomic diffusion from the surface $$ \left\{ { - \infty

Keywords: Asymptotic Expansion; Series Representation; Atomic Diffusion; Integrodifferential Equation; Large Argument (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0111-3_6

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DOI: 10.1007/978-1-4612-0111-3_6

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