Solução Numérica da Eq. de Difusão de Calor 1D em Regime Transiente com Propriedades Constantes

Dados de entrada

                 9  = N:      número de volumes de controle
  1.1700000000E-04  = alpha:  difusividade térmica [m2/s]
  1.0000000000E-01  = L:      comprimento do domínio [m]
  0.0000000000E+00  = Ta:     temperatura do contorno esquerdo (x=0) [°C]
  0.0000000000E+00  = Tb:     temperatura do contorno direito  (x=L) [°C]
  5.0000000000E-01  = theta:  formulação temporal empregada: 0 - explícita; 0.5 - Crank-Nicolson; 1 - totalmente implícita


Coeficientes e termos-fontes
vol.     oeste                    central                  leste                    termo-fonte
    1    0.000000000000000E+00    3.649667616334283E+02    9.000000000000000E+01    1.849411536002096E+00
    2    9.000000000000000E+01    2.749667616334283E+02    9.000000000000000E+01    5.325168282357102E+00
    3    9.000000000000000E+01    2.749667616334283E+02    9.000000000000000E+01    8.158631142746177E+00
    4    9.000000000000000E+01    2.749667616334283E+02    9.000000000000000E+01    1.000804267874828E+01
    5    9.000000000000000E+01    2.749667616334283E+02    9.000000000000000E+01    1.065033656471420E+01
    6    9.000000000000000E+01    2.749667616334283E+02    9.000000000000000E+01    1.000804267874828E+01
    7    9.000000000000000E+01    2.749667616334283E+02    9.000000000000000E+01    8.158631142746181E+00
    8    9.000000000000000E+01    2.749667616334283E+02    9.000000000000000E+01    5.325168282357103E+00
    9    9.000000000000000E+01    3.649667616334283E+02    0.000000000000000E+00    1.849411536002095E+00


Soluções numéricas

    Volume     Posição [m]        Temp. numérica [°C]      Temp. analítica [°C]     Erro numérico [°C]
         0     0.000000000E+00    0.000000000000000E+00    0.000000000000000E+00    0.000000000000000E+00
         1     5.555555556E-03    1.747661133786137E-02    1.724537264439425E-02   -2.312386934671153E-04
         2     1.666666667E-02    5.032189675892471E-02    4.965607147767514E-02   -6.658252812495671E-04
         3     2.777777778E-02    7.709761875876235E-02    7.607751524518366E-02   -1.020103513578688E-03
         4     3.888888889E-02    9.457423009662372E-02    9.332288788957791E-02   -1.251342207045814E-03
         5     5.000000000E-02    1.006437935178494E-01    9.931214295535029E-02   -1.331650562499134E-03
         6     6.111111111E-02    9.457423009662375E-02    9.332288788957791E-02   -1.251342207045841E-03
         7     7.222222222E-02    7.709761875876238E-02    7.607751524518365E-02   -1.020103513578730E-03
         8     8.333333333E-02    5.032189675892472E-02    4.965607147767515E-02   -6.658252812495741E-04
         9     9.444444444E-02    1.747661133786137E-02    1.724537264439429E-02   -2.312386934670806E-04
        10     1.000000000E-01    0.000000000000000E+00    0.000000000000000E+00    0.000000000000000E+00


Soluções numéricas - Temperaturas Médias

    Tempo [s]                Numérica [°C]            Analítica [°C]           Erro numérico [°C]
    0.000000000000000E+00    6.302162660344630E-01    6.366197723675814E-01    6.403506333118370E-03
    2.000000000000000E+00    5.009199263258536E-01    5.053361395445396E-01    4.416213218686016E-03
    4.000000000000000E+00    3.981502638279683E-01    4.011257975542928E-01    2.975533726324586E-03
    6.000000000000000E+00    3.164650161733823E-01    3.184056964708454E-01    1.940680297463138E-03
    8.000000000000000E+00    2.515384656504753E-01    2.527441220764715E-01    1.205656425996182E-03
    1.000000000000000E+01    1.999323668279677E-01    2.006232675867198E-01    6.909007587521387E-04
    1.200000000000000E+01    1.589138710934865E-01    1.592507677982495E-01    3.368967047630012E-04
    1.400000000000000E+01    1.263108061319896E-01    1.264100986360902E-01    9.929250410067869E-05
    1.600000000000000E+01    1.003966465351997E-01    1.003418272835587E-01   -5.481925164095569E-05
    1.800000000000000E+01    7.979908405446465E-02    7.964935089235792E-02   -1.497331621067299E-04
    2.000000000000000E+01    6.342735575036257E-02    6.322407384157178E-02   -2.032819087907922E-04