<s>
In	O
numerical	O
mathematics	O
,	O
the	O
boundary	B-Algorithm
knot	I-Algorithm
method	I-Algorithm
(	O
BKM	O
)	O
is	O
proposed	O
as	O
an	O
alternative	O
boundary-type	O
meshfree	O
distance	O
function	O
collocation	O
scheme	O
.	O
</s>
<s>
Recent	O
decades	O
have	O
witnessed	O
a	O
research	O
boom	O
on	O
the	O
meshfree	O
numerical	O
PDE	O
techniques	O
since	O
the	O
construction	O
of	O
a	O
mesh	O
in	O
the	O
standard	O
finite	B-Application
element	I-Application
method	I-Application
and	O
boundary	B-Algorithm
element	I-Algorithm
method	I-Algorithm
is	O
not	O
trivial	O
especially	O
for	O
moving	O
boundary	O
,	O
and	O
higher-dimensional	O
problems	O
.	O
</s>
<s>
The	O
boundary	B-Algorithm
knot	I-Algorithm
method	I-Algorithm
is	O
different	O
from	O
the	O
other	O
methods	O
based	O
on	O
the	O
fundamental	O
solutions	O
,	O
such	O
as	O
boundary	B-Algorithm
element	I-Algorithm
method	I-Algorithm
,	O
method	B-Algorithm
of	I-Algorithm
fundamental	I-Algorithm
solutions	I-Algorithm
and	O
singular	B-Algorithm
boundary	I-Algorithm
method	I-Algorithm
in	O
that	O
the	O
former	O
does	O
not	O
require	O
special	O
techniques	O
to	O
cure	O
the	O
singularity	O
.	O
</s>
<s>
Without	O
the	O
singular	O
fundamental	O
solution	O
,	O
the	O
BKM	O
removes	O
the	O
controversial	O
artificial	O
boundary	O
in	O
the	O
method	B-Algorithm
of	I-Algorithm
fundamental	I-Algorithm
solutions	I-Algorithm
.	O
</s>
<s>
It	O
has	O
long	O
been	O
noted	O
that	O
boundary	B-Algorithm
element	I-Algorithm
method	I-Algorithm
(	O
BEM	O
)	O
is	O
an	O
alternative	O
method	O
to	O
finite	B-Application
element	I-Application
method	I-Application
(	O
FEM	O
)	O
and	O
finite	B-Algorithm
volume	I-Algorithm
method	I-Algorithm
(	O
FVM	O
)	O
for	O
infinite	O
domain	O
,	O
thin-walled	O
structures	O
,	O
and	O
inverse	O
problems	O
,	O
thanks	O
to	O
its	O
dimensional	O
reducibility	O
.	O
</s>
<s>
The	O
method	B-Algorithm
of	I-Algorithm
fundamental	I-Algorithm
solutions	I-Algorithm
(	O
MFS	O
)	O
has	O
in	O
recent	O
decade	O
emerged	O
to	O
alleviate	O
these	O
drawbacks	O
and	O
getting	O
increasing	O
attentions	O
.	O
</s>
