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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 15 "Ejercicio 12-10
" }{TEXT 259 1 " " }{TEXT 260 39 " (del EXAMEN EXTRAORDINARIO de 14JUL
04)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 27 "Pa
ra el problema parab\363lico" }}{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 64 "con condiciones de contorno homog\351
neas, se considera el  m\351todo " }}{PARA 4 "" 0 "" {TEXT -1 46 "de R
ICHARDSON, que consiste en utilizar para  " }{XPPEDIT 18 0 "delta u/(d
elta t)" "6#*(%&deltaG\"\"\"%\"uGF%*&F$F%%\"tGF%!\"\"" }{TEXT -1 12 " \+
 la f\363rmula" }}{PARA 4 "" 0 "" {TEXT -1 15 "    f ' (x) =  " }
{XPPEDIT 18 0 "(f(x+h)-f(x-h))/(2h)" "6#*&,&-%\"fG6#,&%\"xG\"\"\"%\"hG
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{XPPEDIT 18 0 "h^2" "6#*$%\"hG\"\"#" }{TEXT -1 2 " )" }}{PARA 4 "" 0 "
" {TEXT -1 8 "y para  " }{XPPEDIT 18 0 "delta^2 u/(delta x^2)" "6#*(%&
deltaG\"\"#%\"uG\"\"\"*&F$F'*$%\"xGF%F'!\"\"" }{TEXT -1 12 "  la f\363
rmula" }}{PARA 4 "" 0 "" {TEXT -1 16 "    f ' '(x) =  " }{XPPEDIT 18 
0 "(f(x+h)-2*f(x)+f(x-h))/(h^2)" "6#*&,(-%\"fG6#,&%\"xG\"\"\"%\"hGF*F*
*&\"\"#F*-F&6#F)F*!\"\"-F&6#,&F)F*F+F0F*F**$F+F-F0" }{TEXT -1 8 "  + O
 ( " }{XPPEDIT 18 0 "h^2" "6#*$%\"hG\"\"#" }{TEXT -1 3 " ) " }}{PARA 
4 "" 0 "" {TEXT -1 70 "Constr\372yase la ecuaci\363n del m\351todo, ca
lc\372lese su orden de truncaci\363n, " }}{PARA 4 "" 0 "" {TEXT -1 66 
"descr\355base la mol\351cula computacional que interviene en la ecuac
i\363n" }}{PARA 4 "" 0 "" {TEXT -1 69 "y util\355cese el m\351todo de \+
FOURIER para buscar, si existen, condiciones" }}{PARA 4 "" 0 "" {TEXT 
-1 7 "sobre  " }{XPPEDIT 18 0 "lambda" "6#%'lambdaG" }{TEXT -1 53 "  q
ue sean necesarias para la estabilidad del m\351todo." }}}{EXCHG 
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