Resuelve: -Uxx + U = sin(M_PI * x) en 0 <= x <= 1 u(0)=u(1)=0 Dominio: (0.000000,1.000000) Nodos de los elementos Elemento 1 ---> Nodos ( 0, 1 ) Elemento 2 ---> Nodos ( 1, 2 ) Elemento 3 ---> Nodos ( 2, 3 ) Elemento 4 ---> Nodos ( 3, 4 ) Elemento 5 ---> Nodos ( 4, 5 ) Elemento 6 ---> Nodos ( 5, 6 ) Elemento 7 ---> Nodos ( 6, 7 ) Elemento 8 ---> Nodos ( 7, 8 ) Elemento 9 ---> Nodos ( 8, 9 ) Elemento 10 ---> Nodos ( 9, 10 ) Elemento 11 ---> Nodos ( 10, 11 ) Elemento 12 ---> Nodos ( 11, 12 ) Elemento 13 ---> Nodos ( 12, 13 ) Elemento 14 ---> Nodos ( 13, 14 ) Elemento 15 ---> Nodos ( 14, 15 ) Elemento 16 ---> Nodos ( 15, 16 ) Elemento 17 ---> Nodos ( 16, 17 ) Elemento 18 ---> Nodos ( 17, 18 ) Elemento 19 ---> Nodos ( 18, 19 ) Elemento 20 ---> Nodos ( 19, 20 ) Elemento 21 ---> Nodos ( 20, 21 ) Elemento 22 ---> Nodos ( 21, 22 ) Elemento 23 ---> Nodos ( 22, 23 ) Elemento 24 ---> Nodos ( 23, 24 ) Elemento 25 ---> Nodos ( 24, 25 ) Elemento 26 ---> Nodos ( 25, 26 ) Elemento 27 ---> Nodos ( 26, 27 ) Elemento 28 ---> Nodos ( 27, 28 ) Elemento 29 ---> Nodos ( 28, 29 ) Elemento 30 ---> Nodos ( 29, 30 ) Elemento 31 ---> Nodos ( 30, 31 ) Elemento 32 ---> Nodos ( 31, 32 ) Elemento 33 ---> Nodos ( 32, 33 ) Elemento 34 ---> Nodos ( 33, 34 ) Elemento 35 ---> Nodos ( 34, 35 ) Elemento 36 ---> Nodos ( 35, 36 ) Elemento 37 ---> Nodos ( 36, 37 ) Elemento 38 ---> Nodos ( 37, 38 ) Elemento 39 ---> Nodos ( 38, 39 ) Elemento 40 ---> Nodos ( 39, 40 ) Elemento 41 ---> Nodos ( 40, 41 ) Elemento 42 ---> Nodos ( 41, 42 ) Elemento 43 ---> Nodos ( 42, 43 ) Elemento 44 ---> Nodos ( 43, 44 ) Elemento 45 ---> Nodos ( 44, 45 ) Elemento 46 ---> Nodos ( 45, 46 ) Elemento 47 ---> Nodos ( 46, 47 ) Elemento 48 ---> Nodos ( 47, 48 ) Elemento 49 ---> Nodos ( 48, 49 ) Nodos Nodo: 0 ( -1 ) ---> Nodo: ( +0.0000000000e+00 ) Nodo: 1 ( 0 ) ---> Nodo: ( +2.0408163265e-02 ) Nodo: 2 ( 1 ) ---> Nodo: ( +4.0816326531e-02 ) Nodo: 3 ( 2 ) ---> Nodo: ( +6.1224489796e-02 ) Nodo: 4 ( 3 ) ---> Nodo: ( +8.1632653061e-02 ) Nodo: 5 ( 4 ) ---> Nodo: ( +1.0204081633e-01 ) Nodo: 6 ( 5 ) ---> Nodo: ( +1.2244897959e-01 ) Nodo: 7 ( 6 ) ---> Nodo: ( +1.4285714286e-01 ) Nodo: 8 ( 7 ) ---> Nodo: ( +1.6326530612e-01 ) Nodo: 9 ( 8 ) ---> Nodo: ( +1.8367346939e-01 ) Nodo: 10 ( 9 ) ---> Nodo: ( +2.0408163265e-01 ) Nodo: 11 ( 10 ) ---> Nodo: ( +2.2448979592e-01 ) Nodo: 12 ( 11 ) ---> Nodo: ( +2.4489795918e-01 ) Nodo: 13 ( 12 ) ---> Nodo: ( +2.6530612245e-01 ) Nodo: 14 ( 13 ) ---> Nodo: ( +2.8571428571e-01 ) Nodo: 15 ( 14 ) ---> Nodo: ( +3.0612244898e-01 ) Nodo: 16 ( 15 ) ---> Nodo: ( +3.2653061224e-01 ) Nodo: 17 ( 16 ) ---> Nodo: ( +3.4693877551e-01 ) Nodo: 18 ( 17 ) ---> Nodo: ( +3.6734693878e-01 ) Nodo: 19 ( 18 ) ---> Nodo: ( +3.8775510204e-01 ) Nodo: 20 ( 19 ) ---> Nodo: ( +4.0816326531e-01 ) Nodo: 21 ( 20 ) ---> Nodo: ( +4.2857142857e-01 ) Nodo: 22 ( 21 ) ---> Nodo: ( +4.4897959184e-01 ) Nodo: 23 ( 22 ) ---> Nodo: ( +4.6938775510e-01 ) Nodo: 24 ( 23 ) ---> Nodo: ( +4.8979591837e-01 ) Nodo: 25 ( 24 ) ---> Nodo: ( +5.1020408163e-01 ) Nodo: 26 ( 25 ) ---> Nodo: ( +5.3061224490e-01 ) Nodo: 27 ( 26 ) ---> Nodo: ( +5.5102040816e-01 ) Nodo: 28 ( 27 ) ---> Nodo: ( +5.7142857143e-01 ) Nodo: 29 ( 28 ) ---> Nodo: ( +5.9183673469e-01 ) Nodo: 30 ( 29 ) ---> Nodo: ( +6.1224489796e-01 ) Nodo: 31 ( 30 ) ---> Nodo: ( +6.3265306122e-01 ) Nodo: 32 ( 31 ) ---> Nodo: ( +6.5306122449e-01 ) Nodo: 33 ( 32 ) ---> Nodo: ( +6.7346938776e-01 ) Nodo: 34 ( 33 ) ---> Nodo: ( +6.9387755102e-01 ) Nodo: 35 ( 34 ) ---> Nodo: ( +7.1428571429e-01 ) Nodo: 36 ( 35 ) ---> Nodo: ( +7.3469387755e-01 ) Nodo: 37 ( 36 ) ---> Nodo: ( +7.5510204082e-01 ) Nodo: 38 ( 37 ) ---> Nodo: ( +7.7551020408e-01 ) Nodo: 39 ( 38 ) ---> Nodo: ( +7.9591836735e-01 ) Nodo: 40 ( 39 ) ---> Nodo: ( +8.1632653061e-01 ) Nodo: 41 ( 40 ) ---> Nodo: ( +8.3673469388e-01 ) Nodo: 42 ( 41 ) ---> Nodo: ( +8.5714285714e-01 ) Nodo: 43 ( 42 ) ---> Nodo: ( +8.7755102041e-01 ) Nodo: 44 ( 43 ) ---> Nodo: ( +8.9795918367e-01 ) Nodo: 45 ( 44 ) ---> Nodo: ( +9.1836734694e-01 ) Nodo: 46 ( 45 ) ---> Nodo: ( +9.3877551020e-01 ) Nodo: 47 ( 46 ) ---> Nodo: ( +9.5918367347e-01 ) Nodo: 48 ( 47 ) ---> Nodo: ( +9.7959183673e-01 ) Nodo: 49 ( -1 ) ---> Nodo: ( +1.0000000000e+00 ) Matriz Densa "Matriz Temporal para Generar Matriz de Rigidez" de dimensión: 2 x 2 Número de entradas distintas de cero: 4 Numero máximo de columnas ocupadas: 2 +49.0068027211 -48.9965986395 -48.9965986395 +49.0068027211 Matriz Bandada "Matriz de carga" de dimensión: 48 x 48 y banda 3 Número de entradas distintas de cero: 142 Numero máximo de columnas ocupadas: 3 +98.0136054422 -48.9965986395 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 +0.0000000000 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+98.0136054422 Vector "Vector de carga" de dimensión: 48 Vector "Vector Extendido" de dimensión: 2 Vector extendido "Vector de carga global" de dimensión: 50 +0.0000000000e+00 +1.3071076656e-03 +2.6088441454e-03 +3.8998603251e-03 +5.1748511421e-03 +6.4285773858e-03 +7.6558872261e-03 +8.8517373836e-03 +1.0011213853e-02 +1.1129552098e-02 +1.2202156626e-02 +1.3224619875e-02 +1.4192740324e-02 +1.5102539759e-02 +1.5950279619e-02 +1.6732476358e-02 +1.7445915763e-02 +1.8087666158e-02 +1.8655090453e-02 +1.9145856979e-02 +1.9557949073e-02 +1.9889673358e-02 +2.0139666710e-02 +2.0306901851e-02 +2.0390691576e-02 +2.0390691576e-02 +2.0306901851e-02 +2.0139666710e-02 +1.9889673358e-02 +1.9557949073e-02 +1.9145856979e-02 +1.8655090453e-02 +1.8087666158e-02 +1.7445915763e-02 +1.6732476358e-02 +1.5950279619e-02 +1.5102539759e-02 +1.4192740324e-02 +1.3224619875e-02 +1.2202156626e-02 +1.1129552098e-02 +1.0011213853e-02 +8.8517373836e-03 +7.6558872261e-03 +6.4285773858e-03 +5.1748511421e-03 +3.8998603251e-03 +2.6088441454e-03 +1.3071076656e-03 +0.0000000000e+00 Método Tridiagonal para resolver el sistema lineal Vector "Solución sistema lineal" de dimensión: 48 Vector "Vector Extendido" de dimensión: 2 Vector extendido "Solución" de dimensión: 50 0: +0.0000000000e+00 1: +5.8946247183e-03 2: +1.1765027159e-02 3: +1.7587084580e-02 4: +2.3336872898e-02 5: +2.8990764999e-02 6: +3.4525527828e-02 7: +3.9918417858e-02 8: +4.5147274547e-02 9: +5.0190611400e-02 10: +5.5027704265e-02 11: +5.9638676490e-02 12: +6.4004580601e-02 13: +6.8107476161e-02 14: +7.1930503492e-02 15: +7.5457952956e-02 16: +7.8675329505e-02 17: +8.1569412250e-02 18: +8.4128308783e-02 19: +8.6341504050e-02 20: +8.8199903556e-02 21: +8.9695870740e-02 22: +9.0823258351e-02 23: +9.1577433712e-02 24: +9.1955297755e-02 25: +9.1955297755e-02 26: +9.1577433712e-02 27: +9.0823258351e-02 28: +8.9695870740e-02 29: +8.8199903556e-02 30: +8.6341504050e-02 31: +8.4128308783e-02 32: +8.1569412250e-02 33: +7.8675329505e-02 34: +7.5457952956e-02 35: +7.1930503492e-02 36: +6.8107476161e-02 37: +6.4004580601e-02 38: +5.9638676490e-02 39: +5.5027704265e-02 40: +5.0190611400e-02 41: +4.5147274547e-02 42: +3.9918417858e-02 43: +3.4525527828e-02 44: +2.8990764999e-02 45: +2.3336872898e-02 46: +1.7587084580e-02 47: +1.1765027159e-02 48: +5.8946247183e-03 49: +0.0000000000e+00 Error por cada nodo Nodo 0 ( -1), Solución exacta: +0.0000000000e+00 , Error: +0.0000000000e+00 Nodo 1 ( 0), Solución exacta: +5.8944389894e-03 , Error: +1.8572889612e-07 Nodo 2 ( 1), Solución exacta: +1.1764656465e-02 , Error: +3.7069459236e-07 Nodo 3 ( 2), Solución exacta: +1.7586530443e-02 , Error: +5.5413702500e-07 Nodo 4 ( 3), Solución exacta: +2.3336137595e-02 , Error: +7.3530238975e-07 Nodo 5 ( 4), Solución exacta: +2.8989851553e-02 , Error: +9.1344623926e-07 Nodo 6 ( 5), Solución exacta: +3.4524439992e-02 , Error: +1.0878365422e-06 Nodo 7 ( 6), Solución exacta: +3.9917160101e-02 , Error: +1.2577566915e-06 Nodo 8 ( 7), Solución exacta: +4.5145852038e-02 , Error: +1.4225084488e-06 Nodo 9 ( 8), Solución exacta: +5.0189029985e-02 , Error: +1.5814148137e-06 Nodo 10 ( 9), Solución exacta: +5.5025970442e-02 , Error: +1.7338228059e-06 Nodo 11 ( 10), Solución exacta: +5.9636797384e-02 , Error: +1.8791061483e-06 Nodo 12 ( 11), Solución exacta: +6.4002563933e-02 , Error: +2.0166678405e-06 Nodo 13 ( 12), Solución exacta: +6.8105330218e-02 , Error: +2.1459426119e-06 Nodo 14 ( 13), Solución exacta: +7.1928237093e-02 , Error: +2.2663992449e-06 Nodo 15 ( 14), Solución exacta: +7.5455575413e-02 , Error: +2.3775427572e-06 Nodo 16 ( 15), Solución exacta: +7.8672850589e-02 , Error: +2.4789164363e-06 Nodo 17 ( 16), Solución exacta: +8.1566842146e-02 , Error: +2.5701037161e-06 Nodo 18 ( 17), Solución exacta: +8.4125658053e-02 , Error: +2.6507298884e-06 Nodo 19 ( 18), Solución exacta: +8.6338783586e-02 , Error: +2.7204636431e-06 Nodo 20 ( 19), Solución exacta: +8.8197124538e-02 , Error: +2.7790184291e-06 Nodo 21 ( 20), Solución exacta: +8.9693044586e-02 , Error: +2.8261536322e-06 Nodo 22 ( 21), Solución exacta: +9.0820396676e-02 , Error: +2.8616755639e-06 Nodo 23 ( 22), Solución exacta: +9.1574548274e-02 , Error: +2.8854382569e-06 Nodo 24 ( 23), Solución exacta: +9.1952400411e-02 , Error: +2.8973440651e-06 Nodo 25 ( 24), Solución exacta: +9.1952400411e-02 , Error: +2.8973440651e-06 Nodo 26 ( 25), Solución exacta: +9.1574548274e-02 , Error: +2.8854382569e-06 Nodo 27 ( 26), Solución exacta: +9.0820396676e-02 , Error: +2.8616755639e-06 Nodo 28 ( 27), Solución exacta: +8.9693044586e-02 , Error: +2.8261536322e-06 Nodo 29 ( 28), Solución exacta: +8.8197124538e-02 , Error: +2.7790184290e-06 Nodo 30 ( 29), Solución exacta: +8.6338783586e-02 , Error: +2.7204636430e-06 Nodo 31 ( 30), Solución exacta: +8.4125658053e-02 , Error: +2.6507298884e-06 Nodo 32 ( 31), Solución exacta: +8.1566842146e-02 , Error: +2.5701037161e-06 Nodo 33 ( 32), Solución exacta: +7.8672850589e-02 , Error: +2.4789164363e-06 Nodo 34 ( 33), Solución exacta: +7.5455575413e-02 , Error: +2.3775427571e-06 Nodo 35 ( 34), Solución exacta: +7.1928237093e-02 , Error: +2.2663992448e-06 Nodo 36 ( 35), Solución exacta: +6.8105330218e-02 , Error: +2.1459426118e-06 Nodo 37 ( 36), Solución exacta: +6.4002563933e-02 , Error: +2.0166678404e-06 Nodo 38 ( 37), Solución exacta: +5.9636797384e-02 , Error: +1.8791061482e-06 Nodo 39 ( 38), Solución exacta: +5.5025970442e-02 , Error: +1.7338228058e-06 Nodo 40 ( 39), Solución exacta: +5.0189029985e-02 , Error: +1.5814148136e-06 Nodo 41 ( 40), Solución exacta: +4.5145852038e-02 , Error: +1.4225084487e-06 Nodo 42 ( 41), Solución exacta: +3.9917160101e-02 , Error: +1.2577566915e-06 Nodo 43 ( 42), Solución exacta: +3.4524439992e-02 , Error: +1.0878365422e-06 Nodo 44 ( 43), Solución exacta: +2.8989851553e-02 , Error: +9.1344623917e-07 Nodo 45 ( 44), Solución exacta: +2.3336137595e-02 , Error: +7.3530238968e-07 Nodo 46 ( 45), Solución exacta: +1.7586530443e-02 , Error: +5.5413702496e-07 Nodo 47 ( 46), Solución exacta: +1.1764656465e-02 , Error: +3.7069459234e-07 Nodo 48 ( 47), Solución exacta: +5.8944389894e-03 , Error: +1.8572889608e-07 Nodo 49 ( -1), Solución exacta: +5.2122397865e-17 , Error: +5.2122397865e-17 Error: 2.897344e-06