Approximating the Kohlrausch function by sums of exponentials
Zhong, Min ; Loy, Richard ; Anderssen, Robert
ANZIAM Journal, Tome 53 (2013), / Harvested from Australian Mathematical Society
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The Kohlrausch functions \(\exp(−t\beta)\), with \(\beta\in (0, 1)\), which are important in a wide range of physical, chemical and biological applications, correspond to specific realizations of completely monotone functions. In this paper, using nonuniform grids and midpoint estimates, constructive procedures are formulated and analysed for the Kohlrausch functions. Sharper estimates are discussed to improve the approximation results. Numerical results and representative approximations are presented to illustrate the effectiveness of the proposed method. doi:10.1017/S1446181113000229

Publié le : 2013-01-01
DOI : https://doi.org/10.21914/anziamj.v54i0.5539 
@article{5539,
     title = {Approximating the Kohlrausch function by sums of exponentials},
     journal = {ANZIAM Journal},
     volume = {53},
     year = {2013},
     doi = {10.21914/anziamj.v54i0.5539},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/5539}
}

Zhong, Min; Loy, Richard; Anderssen, Robert. Approximating the Kohlrausch function by sums of exponentials. ANZIAM Journal, Tome 53 (2013) . doi : 10.21914/anziamj.v54i0.5539. http://gdmltest.u-ga.fr/item/5539/