<s>
In	O
applied	O
mathematics	O
,	O
the	O
boundary	B-Algorithm
particle	I-Algorithm
method	I-Algorithm
(	O
BPM	O
)	O
is	O
a	O
boundary-only	O
meshless	O
(	O
meshfree	O
)	O
collocation	B-Algorithm
technique	I-Algorithm
,	O
in	O
the	O
sense	O
that	O
none	O
of	O
inner	O
nodes	O
are	O
required	O
in	O
the	O
numerical	O
solution	O
of	O
nonhomogeneous	O
partial	O
differential	O
equations	O
.	O
</s>
<s>
In	O
recent	O
decades	O
,	O
the	O
dual	O
reciprocity	O
method	O
(	O
DRM	O
)	O
and	O
multiple	O
reciprocity	O
method	O
(	O
MRM	O
)	O
have	O
been	O
emerging	O
as	O
promising	O
techniques	O
to	O
evaluate	O
the	O
particular	O
solution	O
of	O
nonhomogeneous	O
partial	O
differential	O
equations	O
in	O
conjunction	O
with	O
the	O
boundary	O
discretization	O
techniques	O
,	O
such	O
as	O
boundary	B-Algorithm
element	I-Algorithm
method	I-Algorithm
(	O
BEM	O
)	O
.	O
</s>
<s>
The	O
boundary	B-Algorithm
particle	I-Algorithm
method	I-Algorithm
(	O
BPM	O
)	O
is	O
a	O
boundary-only	O
discretization	O
of	O
an	O
inhomogeneous	O
partial	O
differential	O
equation	O
by	O
combining	O
the	O
RC-MRM	O
with	O
strong-form	O
meshless	O
boundary	O
collocation	O
discretization	O
schemes	O
,	O
such	O
as	O
the	O
method	B-Algorithm
of	I-Algorithm
fundamental	I-Algorithm
solution	I-Algorithm
(	O
MFS	O
)	O
,	O
boundary	B-Algorithm
knot	I-Algorithm
method	I-Algorithm
(	O
BKM	O
)	O
,	O
regularized	B-Algorithm
meshless	I-Algorithm
method	I-Algorithm
(	O
RMM	O
)	O
,	O
singular	B-Algorithm
boundary	I-Algorithm
method	I-Algorithm
(	O
SBM	O
)	O
,	O
and	O
Trefftz	B-Algorithm
method	I-Algorithm
(	O
TM	O
)	O
.	O
</s>
<s>
(	O
2	O
)	O
The	O
domain	B-Algorithm
decomposition	I-Algorithm
may	O
be	O
used	O
to	O
in	O
the	O
BPM	O
boundary-only	O
solution	O
of	O
large-gradient	O
source	O
functions	O
problems	O
.	O
</s>
