Article ID Journal Published Year Pages File Type
4630336 Applied Mathematics and Computation 2011 9 Pages PDF
Abstract

Consider a radioactive decay chain X1 → ⋯ → Xn→ and let Nn(t) be the amount of Xn at time t. This paper establishes error bounds for large-time approximations to Nn(t) that include and generalize the transient equilibrium approximations and other known approximations. The error bounds allow one to find the range of t for which these approximations can be used with a given degree of precision.

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Physical Sciences and Engineering Mathematics Applied Mathematics
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