Published on 30 Jan 2020
School
Department
Course
Professor
HOMEWORK
#
2
Evelyn
Marin
861220963
1/22/2020
①
{
u
,××tU=o
jodxwuxxtjodxwu
-
-
O
ULD
-0
NOTATION
:
u
,×us=
-
I
WU.info
-
Jjdxwixlhxtf
!d×WU=
→
dat
=f×
→
dI=fxx
H'
'
'
"
Ii
"t÷÷"÷
's
°¥÷÷
Weak
them
→
l-Idxw,×u,×+fid×wu€
→
¥z-_
fuss
.
②
weighting
function
1W
)
→
whlxs
-
-
Csinlnx
)
µ
Analytic
solution
:
Trial
function
uhh
)
-
-
csinlnx
)
a-
I
X11
-
x
)
(a)
u
,××
-
1=0
①
Put
into
weak
form
W
,×=
Cncoscnx
)
{
auto
?
Oo
Jjdxw
-
f
:
dxw.xu.io
Ux
-
-
cncoscnx
)
②
Put
in
the
trials
solutions
for
uh
&
Wh
jodxfcsinlnxs
)
-
J
!
dxcticoscnx
)
=o
yc-E=o
2h
44
-
ons
)
→
=0
4-
Cn3=O
(
n
3=4
c