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A new numerical algorithm based on the first kind of modified Bessel function to solve population growth in a closed system

International Journal of Computer Mathematics, 2014
Volterra's model for population growth in a closed system includes an integral term to indicate accumulated toxicity in addition to the usual terms of the logistic equation. In this research, a new numerical algorithm is introduced for solving this model. The proposed numerical approach is based on the modified Bessel function of the first kind and the
K. Parand 0001   +2 more
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Algorithm 597

ACM Transactions on Mathematical Software, 1983
This FORTRAN subroutine calculates sequences of modified Bessel functions of the first kind, I/sub n+a/(x), n = 0, 1, ..., NB - 1 or e/sup -x/I/sub n+a/(x), n = 0, 1, ..., NB - 1, where 0 less than or equal to a < 1, and 0 less than or equal to x less than or equal to EXPARG or 0 less than or equal to x less than or equal to XLARGE, as appropriate. The
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A new sequence of approximation operators involving modified Bessel functions of first kind

Georgian Mathematical Journal
Abstract The present article deals with an approximation operator, which is based on the modified Bessel function of the first kind. Such operators are linear positive operators and preserve only the constant functions among the power test functions. We construct these operators by a partial differential equation (PDE).
Vijay Gupta   +3 more
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