Open AccessON TAKING MEANS OF DENSITY DISTRIBUTIONS IN THE EARTH
Author(s) -
Bolt B. A.
Publication year - 1957
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1957.tb02892.x
Subject(s) - layer (electronics) , mathematics , differential equation , mathematical analysis , earth (classical element) , materials science , mathematical physics , composite material
Summary. The error is investigated when the mean of two solutions of a non‐linear second‐order differential equation which gives the variation of density with depth in certain layers of the Earth is used as a solution. A solution (Model M) of the equation for layer E is given, which has a density of 9.385 g/m 3 at the top of layer E. Identifying, at the top of layer E, the mean of two numerically estimated solutions with a similarly estimated solution, it is shown that the error is a maximum at the bottom of layer E, where it is of the order of 0.04 per cent.