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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 
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" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 27 "Para \+
el problema parab\363lico" }}{PARA 4 "" 0 "" {TEXT -1 4 "    " }
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\"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'*$%\"xGF%F'!\"\"" }{TEXT -1 5 "  = 0" }}
{PARA 4 "" 0 "" {TEXT -1 32 "    u ( x , 0 ) = f ( x ) .     " }}
{PARA 4 "" 0 "" {TEXT -1 41 "    u ( 0 , t ) = 0  y  u ( l , t ) = 0 ,
" }}{PARA 4 "" 0 "" {TEXT -1 67 "con condiciones de contorno homog\351
neas, consideramos el  m\351todo en " }}{PARA 4 "" 0 "" {TEXT -1 29 "d
iferencias finitas dado por " }}{PARA 4 "" 0 "" {TEXT -1 3 "   " }
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6#%'lambdaG" }{TEXT -1 6 " - 3) " }{XPPEDIT 18 0 "u[n*m];" "6#&%\"uG6#
*&%\"nG\"\"\"%\"mGF(" }{TEXT -1 5 " - 2 " }{XPPEDIT 18 0 "lambda;" "6#
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}{TEXT -1 1 " " }{TEXT 259 1 "k" }{TEXT -1 3 " / " }{XPPEDIT 18 0 "h^2
;" "6#*$%\"hG\"\"#" }{TEXT -1 5 "  y  " }{TEXT 260 8 "n, m, h " }
{TEXT -1 3 " y " }{TEXT 261 2 " k" }{TEXT -1 59 "  corresponden al ret
\355culo habitual.                       " }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 4 "" 0 "" {TEXT -1 73 "a) Escr\355base la ecuaci\363n en \+
la forma matricial, relacionando el resultado" }}{PARA 4 "" 0 "" 
{TEXT -1 44 "con la matriz tridiagonal, tambi\351n habitual," }}{PARA 
4 "" 0 "" {TEXT -1 35 "         |   2  -1   0   . . .    |" }}{PARA 4 
"" 0 "" {TEXT -1 35 "         |  -1   2  -1   . . .    |" }}{PARA 4 "
" 0 "" {TEXT -1 33 "   B = |   0  -1   2   . . .    |" }}{PARA 4 "" 0 
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0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 146 " b)D\355gase qu\351
 orden posee el error de truncaci\363n de dicho m\351todo.            \+
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