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{SECT 0 {EXCHG {PARA 4 "" 0 "" {TEXT 256 14 "Ejercicios de " }}{PARA 
4 "" 0 "" {TEXT 258 31 "(12) Las Ecuaciones parab\363licas" }}{PARA 4 
"" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 257 55 "Ejercicio 12-08 \+
 (del EXAMEN EXTRAORDINARIO de 09JUL08)" }}{PARA 0 "" 0 "" {TEXT -1 0 
"" }}{PARA 4 "" 0 "" {TEXT -1 32 "Para un problema parab\363lico como
" }}{PARA 4 "" 0 "" {TEXT -1 4 "    " }{XPPEDIT 18 0 "delta  u/(delta \+
 t)" "6#*(%&deltaG\"\"\"%\"uGF%*&F$F%%\"tGF%!\"\"" }{TEXT -1 4 "  - " 
}{XPPEDIT 18 0 "alpha^2" "6#*$%&alphaG\"\"#" }{TEXT -1 2 "  " }
{XPPEDIT 18 0 "delta^2  u/(delta  x^2)" "6#*(%&deltaG\"\"#%\"uG\"\"\"*
&F$F'*$%\"xGF%F'!\"\"" }{TEXT -1 5 "  = 0" }}{PARA 4 "" 0 "" {TEXT -1 
32 "    u ( x , 0 ) = f ( x ) .     " }}{PARA 4 "" 0 "" {TEXT -1 41 " \+
   u ( 0 , t ) = 0  y  u ( l , t ) = 0 ," }}{PARA 4 "" 0 "" {TEXT -1 
25 "con el ret\355culo habitual " }}{PARA 4 "" 0 "" {TEXT -1 5 "   ( \+
" }{XPPEDIT 18 0 "x[n];" "6#&%\"xG6#%\"nG" }{TEXT -1 3 " , " }
{XPPEDIT 18 0 "t[m];" "6#&%\"tG6#%\"mG" }{TEXT -1 6 " ) ,  " }
{XPPEDIT 18 0 "x[n];" "6#&%\"xG6#%\"nG" }{TEXT -1 25 " = n h ,  n=0,..
., N-1,  " }{XPPEDIT 18 0 "t[m];" "6#&%\"tG6#%\"mG" }{TEXT -1 21 " = m
 k ,  m=0,1,2,..." }}{PARA 4 "" 0 "" {TEXT -1 22 "y poniendo el usual \+
  " }}{PARA 4 "" 0 "" {TEXT -1 4 "    " }{XPPEDIT 18 0 "lambda;" "6#%'
lambdaG" }{TEXT -1 3 " = " }{XPPEDIT 18 0 "alpha^2*k/(h^2);" "6#*(%&al
phaG\"\"#%\"kG\"\"\"*$%\"hGF%!\"\"" }{TEXT -1 2 "  " }}{PARA 4 "" 0 "
" {TEXT -1 26 "se considera el m\351todo    " }}{PARA 4 "" 0 "" {TEXT 
-1 5 "     " }{XPPEDIT 18 0 "u[n*m+1];" "6#&%\"uG6#,&*&%\"nG\"\"\"%\"m
GF)F)F)F)" }{TEXT -1 3 " - " }{XPPEDIT 18 0 "u[n*m-1];" "6#&%\"uG6#,&*
&%\"nG\"\"\"%\"mGF)F)F)!\"\"" }{TEXT -1 5 " = 2 " }{XPPEDIT 18 0 "lamb
da;" "6#%'lambdaG" }{TEXT -1 3 " ( " }{XPPEDIT 18 0 "u[n+1*m];" "6#&%
\"uG6#,&%\"nG\"\"\"*&F(F(%\"mGF(F(" }{TEXT -1 5 " - 2 " }{XPPEDIT 18 
0 "u[n*m];" "6#&%\"uG6#*&%\"nG\"\"\"%\"mGF(" }{TEXT -1 3 " + " }
{XPPEDIT 18 0 "u[n-1*m];" "6#&%\"uG6#,&%\"nG\"\"\"*&F(F(%\"mGF(!\"\"" 
}{TEXT -1 4 " )  " }}{PARA 4 "" 0 "" {TEXT -1 90 "D\355gase lo que ase
gura el m\351todo de FOURIER para el citado m\351todo en diferencias. \+
Calc\372lese" }}{PARA 4 "" 0 "" {TEXT -1 27 "adem\341s el orden del m
\351todo." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}
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