{VERSION 5 0 "IBM INTEL NT" "5.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 
2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 
11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 
0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "
Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }
}
{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "with(PDEtools);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#71%(PDEplotG%&buildG%*casesplitG%*char
stripG%(dchangeG%(dcoeffsG%(declareG%*difforderG%*dpolyformG%&dsubsG%&
mapdeG%-separabilityG%+splitstripG%)splitsysG%*undeclareG" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 83 "v:=(x,t)->int(exp(-abs(s))*e
xp(-(x-s)^2/(4*t))/sqrt(4*t*Pi),s=-infinity..infinity);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%\"vGf*6$%\"xG%\"tG6\"6$%)operatorG%&arrowGF)-%
$intG6$*(-%$expG6#,$-%$absG6#%\"sG!\"\"\"\"\"-F26#,$*&#F:\"\"%F:*&,&9$
F:F8F9\"\"#9%F9F:F9F:-%%sqrtG6#,$*(F@F:FEF:%#PiGF:F:F9/F8;,$%)infinity
GF9FOF)F)F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "plot3d(v(x,t
),x=-1..1,t=0.001..1,axes=frame);" }}{PARA 13 "" 1 "" {GLPLOT3D 495 
495 495 {PLOTDATA 3 "6%-%%GRIDG6%;$!\"\"\"\"!$\"\"\"F);$F+!\"$F*7;7;$
\"+Y]Z#o$!#5$\"+I;`QQF3$\"+W)[=)RF3$\"+v)pI3%F3$\"+GSTVTF3$\"+$\\^N<%F
3$\"+N6r#=%F3$\"+,hYxTF3$\"+d&=B;%F3$\"+U+NSTF3$\"+7?p8TF3$\"+'QQQ3%F3
$\"+$z\\=0%F3$\"+\\y[=SF3$\"+BYI%)RF3$\"+iJq\\RF3$\"+`\"z\\\"RF3$\"+#)
*\\.)QF3$\"+h`(f%QF3$\"+8@(>\"QF3$\"+B\\UyPF3$\"+VURXPF3$\"+d@#Hr$F3$
\"+hn.\"o$F3$\"+#[b(\\OF37;$\"+Sq\\-SF3$\"+Q\"e7<%F3$\"+4t(GJ%F3$\"+fv
,(R%F3$\"+84FNWF3$\"+dCEVWF3$\"+e=\">V%F3$\"+.6@3WF3$\"+!RAmP%F3$\"+&p
P+M%F3$\"+QhO+VF3$\"+)G*))eUF3$\"+_\"zk@%F3$\"+l[ttTF3$\"+n.2JTF3$\"+H
=x)3%F3$\"+!3Oq/%F3$\"+En*f+%F3$\"+QAulRF3$\"+C'Gj#RF3$\"+K%)y()QF3$\"
+;s8]QF3$\"+K#yL\"QF3$\"+\\e]xPF3$\"+x!3Du$F37;$\"+S-L]VF3$\"+].^JXF3$
\"+-7ciYF3$\"+xAe?ZF3$\"+N_aIZF3$\"+m*3Cr%F3$\"+))z+yYF3$\"+]zAMYF3$\"
+vP;&e%F3$\"+EWJLXF3$\"+F!Q-[%F3$\"+[1#pU%F3$\"+u2*RP%F3$\"+&4[=K%F3$
\"+)4V2F%F3$\"+tu#3A%F3$\"+)z'=sTF3$\"+!3i[7%F3$\"+FU')ySF3$\"+uQ=MSF3
$\"+E\")z!*RF3$\"+__n[RF3$\"+[zx2RF3$\"+7c1oQF3$\"+af\\HQF37;$\"+b:RGZ
F3$\"+9'e)>\\F3$\"+8iDF]F3$\"+ih,\\]F3$\"+T7lC]F3$\"+B:*o(\\F3$\"+'R<u
\"\\F3$\"+%=,C&[F3$\"+`sA&y%F3$\"+5?!yr%F3$\"+hG@^YF3$\"+4k2'e%F3$\"+[
2tAXF3$\"+(zX8Y%F3$\"+O'))>S%F3$\"+uJmWVF3$\"+(zM$*G%F3$\"+se%fB%F3$\"
+tcU%=%F3$\"+?npMTF3$\"+u)ym3%F3$\"+^>HSSF3$\"+xtX&*RF3$\"+&=*4_RF3$\"
+0Y95RF37;$\"+GzIR^F3$\"+)e:^L&F3$\"+\"pK7S&F3$\"+'ewiP&F3$\"+\"y^AJ&F
3$\"+9c<K_F3$\"+1qIY^F3$\"+#>u%f]F3$\"+9M-u\\F3$\"+z-4\"*[F3$\"+60>6[F
3$\"+$>7Xt%F3$\"+\\w1hYF3$\"+$[v2f%F3$\"+Uh]BXF3$\"+Ww5fWF3$\"+z-U(R%F
3$\"+5\\GQVF3$\"+1wa\"G%F3$\"+`?1FUF3$\"+y1puTF3$\"+,]ICTF3$\"+YbyvSF3
$\"+t9-HSF3$\"+/,\"R)RF37;$\"+*fMfe&F3$\"+$QMIx&F3$\"+'\\:kx&F3$\"+Xj5
&p&F3$\"+/YR(e&F3$\"+H(=MZ&F3$\"+&)))pg`F3$\"+9a8__F3$\"+F(e([^F3$\"+!
*Rz]]F3$\"+UA6e\\F3$\"+@SVq[F3$\"+P\\U(y%F3$\"+n7u3ZF3$\"+'R^Sj%F3$\"+
$>XIc%F3$\"+4uV&\\%F3$\"+pz'4V%F3$\"+g3SpVF3$\"+GB_5VF3$\"+r)QTD%F3$\"
+K_2+UF3$\"+1D<[TF3$\"+(Q'G)4%F3$\"+-cG]SF37;$\"+O\\PrgF3$\"+8(QZA'F3$
\"+O$fB9'F3$\"+f-D(*fF3$\"+DzrVeF3$\"+ZNj&p&F3$\"+!*ffcbF3$\"+fb6FaF3$
\"+[;r1`F3$\"+zKh%>&F3$\"+C%4+4&F3$\"+)3Q@*\\F3$\"+KQJ+\\F3$\"+Q8$R\"[
F3$\"+x*fCt%F3$\"+naVbYF3$\"+X7X#e%F3$\"+M/:8XF3$\"+5)=sW%F3$\"+?(yVQ%
F3$\"+QRQCVF3$\"+2`,nUF3$\"+oq27UF3$\"+WPRfTF3$\"+;v!)3TF37;$\"+/?+*f'
F3$\"+eTIvmF3$\"+hlb'['F3$\"+D]\"QF'F3$\"+\"y=Z2'F3$\"+^.)Q*eF3$\"+z?7
IdF3$\"+n<H\"e&F3$\"+-?JXaF3$\"+kaR?`F3$\"+gD00_F3$\"+(H]!)4&F3$\"+]cO
)*\\F3$\"+SZ90\\F3$\"+1(pw\"[F3$\"+GCLNZF3$\"+^RhdYF3$\"+_#oSe%F3$\"+g
%4V^%F3$\"+l;+[WF3$\"+l2&[Q%F3$\"+$)yfCVF3$\"+LS,nUF3$\"+7d*=@%F3$\"+*
Hh!fTF37;$\"++?[srF3$\"+bj=.rF3$\"+!RK^z'F3$\"+S!fd^'F3$\"+R%pSF'F3$\"
+$=yM1'F3$\"+w'ow(eF3$\"+1Qz6dF3$\"+'>?Ac&F3$\"+4d>EaF3$\"+#z)f,`F3$\"
+tTw'=&F3$\"+dDO!3&F3$\"+zmJ\")\\F3$\"+0<u))[F3$\"+(3->![F3$\"+b)z,s%F
3$\"+G30VYF3$\"+)em+d%F3$\"+a0%3]%F3$\"+<r.NWF3$\"+xIOsVF3$\"+)zgDJ%F3
$\"+xESbUF3$\"+umo+UF37;$\"+H(*z&z(F3$\"+'Hm7[(F3$\"+P4\"R0(F3$\"+emZ9
nF3$\"+/'ffV'F3$\"+K8A+iF3$\"+H2/'*fF3$\"+&*o5;eF3$\"+0ESbcF3$\"+7SL5b
F3$\"+mgBy`F3$\"+2e2d_F3$\"+9dEX^F3$\"+B:aT]F3$\"+g%z[%\\F3$\"+v%QW&[F
3$\"+r*=&pZF3$\"+\"eK&*o%F3$\"+)ozRh%F3$\"+[BVUXF3$\"+p6_uWF3$\"+l]#*4
WF3$\"+\"=j$[VF3$\"+?%)e*G%F3$\"+WAQLUF37;$\"+gbEt%)F3$\"+n<'*zxF3$\"+
\"GZ(\\sF3$\"+V7UioF3$\"+YkVblF3$\"+Tfe+jF3$\"+G?f#3'F3$\"+bb;#*eF3$\"
+T%*>BdF3$\"+ifWrbF3$\"+S@#QV&F3$\"+=X,3`F3$\"+H)RA>&F3$\"+!z#4&3&F3$
\"+0`W&)\\F3$\"++uP#*[F3$\"+4'G^![F3$\"+HG1BZF3$\"+fCkXYF3$\"+O*3Cd%F3
$\"+,z'H]%F3$\"++x(pV%F3$\"+x.9uVF3$\"+$\\%>9VF3$\"+(R4pD%F37;$\"+6)y(
)>*F3$\"+7k6szF3$\"+9\"R>P(F3$\"+Pyp`pF3$\"+b=rGmF3$\"+Y6\">O'F3$\"+%f
T`8'F3$\"+NJVQfF3$\"+w;QkdF3$\"+k\\_3cF3$\"+Co^naF3$\"+`!o)Q`F3$\"+YKn
?_F3$\"+G%R96&F3$\"+9Q(*4]F3$\"+3wI:\\F3$\"+mFkE[F3$\"+rPJVZF3$\"+^'fZ
m%F3$\"+MI]!f%F3$\"+QU8?XF3$\"+0!*H`WF3$\"+1*)o*Q%F3$\"+IP.HVF3$\"+?a4
rUF37;$\"++A%Hl*F3$\"+=.\\Q!)F3$\"+*R#[8uF3$\"+mHb%)pF3$\"+HtS`mF3$\"+
p.a#Q'F3$\"+sJ1`hF3$\"+\\B'R&fF3$\"+=S>ydF3$\"+OR&4i&F3$\"+ig!)yaF3$\"
+S8?\\`F3$\"+`G>I_F3$\"+qyD?^F3$\"+*o\"==]F3$\"+))*yH#\\F3$\"+A!RQ$[F3
$\"+Pj3]ZF3$\"+t?:rYF3$\"+8Db'f%F3$\"+6G(e_%F3$\"+hWveWF3$\"+5b)[R%F3$
\"+$z#*RL%F3$\"+id$eF%F37;$\"+<)y()>*F3$\"+8k6szF3$\"+:\"R>P(F3Fc_m$\"
+c=rGmF3Fg_mFi_m$\"+OJVQfF3F]`mF_`mFa`mFc`mFe`mFg`mFi`mF[amF]amF_amFaa
mFcam$\"+RU8?XF3FgamFiamF[bmF]bm7;$\"+mbEt%)F3$\"+p<'*zxF3$\"+#GZ(\\sF
3$\"+W7UioF3$\"+ZkVblF3$\"+Ufe+jF3Ff\\mFh\\m$\"+U%*>BdF3$\"+jfWrbF3$\"
+T@#QV&F3F`]mFb]mFd]mFf]mFh]mFj]m$\"+IG1BZF3F^^mF`^mFb^mFd^mFf^mFh^mFj
^m7;$\"+N(*z&z(F3$\"+*Hm7[(F3$\"+R4\"R0(F3$\"+gmZ9nF3$\"+0'ffV'F3$\"+L
8A+iF3$\"+I2/'*fF3$\"+'*o5;eF3Fgil$\"+8SL5bF3F[jlF]jl$\"+:dEX^F3FajlFc
jlFejlFgjlFijlF[[m$\"+\\BVUXF3$\"+q6_uWF3Fa[m$\"+#=j$[VF3Fe[mFg[m7;$\"
+0?[srF3$\"+ej=.rF3$\"+#RK^z'F3$\"+U!fd^'F3$\"+T%pSF'F3$\"+%=yM1'F3$\"
+x'ow(eF3$\"+2Qz6dF3$\"+(>?Ac&F3$\"+5d>EaF3$\"+$z)f,`F3FjflF\\glF^glF`
gl$\"+)3->![F3$\"+c)z,s%F3Ffgl$\"+*em+d%F3Fjgl$\"+=r.NWF3$\"+yIOsVF3F`
hl$\"+yESbUF3Fdhl7;$\"+3?+*f'F3$\"+iTIvmF3$\"+jlb'['F3$\"+F]\"QF'F3$\"
+$y=Z2'F3$\"+_.)Q*eF3$\"+\"3A,t&F3$\"+o<H\"e&F3$\"+.?JXaF3$\"+laR?`F3$
\"+hD00_F3$\"+)H]!)4&F3Ficl$\"+TZ90\\F3$\"+2(pw\"[F3F_dl$\"+_RhdYF3Fcd
l$\"+h%4V^%F3$\"+m;+[WF3Fidl$\"+%)yfCVF3$\"+MS,nUF3F_el$\"++81fTF37;$
\"+S\\PrgF3$\"+<(QZA'F3$\"+R$fB9'F3$\"+i-D(*fF3$\"+FzrVeF3$\"+\\Nj&p&F
3$\"+#*ffcbF3$\"+gb6FaF3$\"+\\;r1`F3$\"+!G8Y>&F3$\"+D%4+4&F3$\"+*3Q@*
\\F3$\"+LQJ+\\F3$\"+R8$R\"[F3$\"+y*fCt%F3F\\al$\"+Y7X#e%F3$\"+N/:8XF3F
bal$\"+@(yVQ%F3$\"+RRQCVF3FhalFjalF\\blF^bl7;$\"+.Y$fe&F3$\"+'QMIx&F3$
\"+*\\:kx&F3$\"+[j5&p&F3$\"+1YR(e&F3$\"+J(=MZ&F3$\"+()))pg`F3$\"+:a8__
F3$\"+G(e([^F3$\"+\"*Rz]]F3$\"+VA6e\\F3$\"+ASVq[F3$\"+Q\\U(y%F3$\"+o7u
3ZF3$\"+(R^Sj%F3$\"+%>XIc%F3$\"+5uV&\\%F3F]^l$\"+h3SpVF3$\"+HB_5VF3$\"
+s)QTD%F3Fe^l$\"+2D<[TF3$\"+)Q'G)4%F3F[_l7;$\"+KzIR^F3$\"+#f:^L&F3$\"+
%pK7S&F3$\"+)ewiP&F3$\"+%y^AJ&F3$\"+;c<K_F3$\"+2qIY^F3$\"+%>u%f]F3$\"+
:M-u\\F3$\"+\"G!4\"*[F3$\"+80>6[F3$\"+%>7Xt%F3$\"+]w1hYF3$\"+%[v2f%F3$
\"+Vh]BXF3$\"+Xw5fWF3$\"+!G?uR%F3$\"+6\\GQVF3$\"+2wa\"G%F3$\"+a?1FUF3$
\"+z1puTF3$\"+-]ICTF3$\"+ZbyvSF3$\"+u9-HSF3$\"+0,\"R)RF37;$\"+e:RGZF3$
\"+='e)>\\F3$\"+;iDF]F3$\"+lh,\\]F3$\"+V7lC]F3$\"+E:*o(\\F3$\"+)R<u\"
\\F3$\"+'=,C&[F3$\"+bsA&y%F3$\"+7?!yr%F3$\"+jG@^YF3$\"+5k2'e%F3$\"+\\2
tAXF3$\"+)zX8Y%F3$\"+P'))>S%F3$\"+vJmWVF3$\"+)zM$*G%F3$\"+te%fB%F3$\"+
ucU%=%F3F[xF]xF_x$\"+ytX&*RF3$\"+'=*4_RF3$\"+1Y95RF37;$\"+V-L]VF3$\"+`
.^JXF3$\"+07ciYF3$\"+!G#e?ZF3$\"+Q_aIZF3$\"+p*3Cr%F3$\"+!*z+yYF3$\"+_z
AMYF3$\"+xP;&e%F3$\"+FWJLXF3$\"+G!Q-[%F3$\"+\\1#pU%F3$\"+v2*RP%F3$\"+'
4[=K%F3$\"+*4V2F%F3$\"+uu#3A%F3$\"+*z'=sTF3$\"+\"3i[7%F3$\"+GU')ySF3Fh
t$\"+F\")z!*RF3F\\u$\"+\\zx2RF3$\"+8c1oQF3$\"+bf\\HQF37;$\"+Uq\\-SF3$
\"+T\"e7<%F3$\"+7t(GJ%F3$\"+iv,(R%F3$\"+:4FNWF3$\"+fCEVWF3$\"+g=\">V%F
3$\"+06@3WF3$\"+#RAmP%F3$\"+'pP+M%F3$\"+RhO+VF3$\"+*G*))eUF3$\"+`\"zk@
%F3$\"+m[ttTF3$\"+o.2JTF3$\"+I=x)3%F3$\"+\"3Oq/%F3$\"+Fn*f+%F3$\"+RAul
RF3$\"+D'Gj#RF3$\"+L%)y()QF3Fiq$\"+L#yL\"QF3F]r$\"+y!3Du$F37;$\"+\\]Z#
o$F3$\"+L;`QQF3$\"+Z)[=)RF3$\"+y)pI3%F3$\"+JSTVTF3$\"+&\\^N<%F3$\"+P6r
#=%F3$\"+.hYxTF3$\"+f&=B;%F3$\"+W+NSTF3$\"+9?p8TF3$\"+)QQQ3%F3$\"+&z\\
=0%F3$\"+]y[=SF3$\"+CYI%)RF3$\"+jJq\\RF3$\"+a\"z\\\"RF3$\"+$)*\\.)QF3$
\"+i`(f%QF3$\"+9@(>\"QF3$\"+C\\UyPF3$\"+WURXPF3$\"+e@#Hr$F3$\"+in.\"o$
F3$\"+$[b(\\OF3-%*AXESSTYLEG6#%&FRAMEG-%+AXESLABELSG6%%\"xG%\"tGQ!6\"
" 1 2 0 1 10 0 2 1 1 3 2 1.000000 66.000000 20.000000 0 0 "Curve 1" }}
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "2 0 0" 0 }
{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }