<s>
In	O
scientific	O
computation	O
and	O
simulation	O
,	O
the	O
method	B-Algorithm
of	I-Algorithm
fundamental	I-Algorithm
solutions	I-Algorithm
(	O
MFS	O
)	O
is	O
a	O
technique	O
for	O
solving	O
partial	O
differential	O
equations	O
based	O
on	O
using	O
the	O
fundamental	O
solution	O
as	O
a	O
basis	O
function	O
.	O
</s>
<s>
The	O
MFS	O
was	O
developed	O
to	O
overcome	O
the	O
major	O
drawbacks	O
in	O
the	O
boundary	B-Algorithm
element	I-Algorithm
method	I-Algorithm
(	O
BEM	O
)	O
which	O
also	O
uses	O
the	O
fundamental	O
solution	O
to	O
satisfy	O
the	O
governing	O
equation	O
.	O
</s>
<s>
Consequently	O
,	O
both	O
the	O
MFS	O
and	O
the	O
BEM	O
are	O
of	O
a	O
boundary	O
discretization	O
numerical	O
technique	O
and	O
reduce	O
the	O
computational	O
complexity	O
by	O
one	O
dimensionality	O
and	O
have	O
particular	O
edge	O
over	O
the	O
domain-type	O
numerical	O
techniques	O
such	O
as	O
the	O
finite	B-Application
element	I-Application
and	O
finite	O
volume	O
methods	O
on	O
the	O
solution	O
of	O
infinite	O
domain	O
,	O
thin-walled	O
structures	O
,	O
and	O
inverse	O
problems	O
.	O
</s>
<s>
In	O
contrast	O
to	O
the	O
BEM	O
,	O
the	O
MFS	O
avoids	O
the	O
numerical	O
integration	O
of	O
singular	O
fundamental	O
solution	O
and	O
is	O
an	O
inherent	O
meshfree	B-Algorithm
method	I-Algorithm
.	O
</s>
<s>
The	O
MFS	O
is	O
also	O
known	O
by	O
different	O
names	O
in	O
the	O
literature	O
,	O
including	O
the	O
charge	B-Algorithm
simulation	I-Algorithm
method	I-Algorithm
,	O
the	O
superposition	O
method	O
,	O
the	O
desingularized	O
method	O
,	O
the	O
indirect	O
boundary	B-Algorithm
element	I-Algorithm
method	I-Algorithm
and	O
the	O
virtual	O
boundary	B-Algorithm
element	I-Algorithm
method	I-Algorithm
.	O
</s>
<s>
Some	O
techniques	O
have	O
been	O
developed	O
to	O
cure	O
the	O
fictitious	O
boundary	O
problem	O
in	O
the	O
MFS	O
,	O
such	O
as	O
the	O
boundary	B-Algorithm
knot	I-Algorithm
method	I-Algorithm
,	O
singular	B-Algorithm
boundary	I-Algorithm
method	I-Algorithm
,	O
and	O
regularized	B-Algorithm
meshless	I-Algorithm
method	I-Algorithm
.	O
</s>
