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Meshless Methods and Their Numerical Properties
book

Meshless Methods and Their Numerical Properties

by Hua Li, Shantanu S. Mulay
February 2013
Intermediate to advanced content levelIntermediate to advanced
447 pages
14h 16m
English
CRC Press
Content preview from Meshless Methods and Their Numerical Properties
238 Meshless methods and their numerical properties
where h and k are the spacings between the virtual nodes situated in the
space and time computation domains, respectively. The terms u ,
xxxx,
u
tt,
and u
ttt,
in Equation (5.53) represent the dispersion corresponding to the
space domain term u
xx,
and the dissipation and dispersion corresponding
to the term u
t,
in the time domain, respectively. The dissipation or damp-
ing in the time domain term is replaced as
uu
tt xxxx,
2
,
by
uu
tx
x
,,
.
As a result, Equation (5.53) is modied as
−α =
α
α
uu
h
u
k
u
k
u
12
22
txx xxxx xxxx ttt,,
2
,
2
,
2
,
(5.54)
In order to make the dispersion or os ...
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Publisher Resources

ISBN: 9781466517462