Metodo de Bisección
Algoritmo de Bisección
Parametro Valores de entrada para la grafica Puntos iniciales
C x_1 x_2 n Paso x_i x_s
5 0 10 50 0.2 0.5 1.5
Tabla de valores
Procedimiento numérico del método de bisección
x c(x) f(x) i x_i
0 10 -5 1 0.5
0.2 8.68783769 -3.68783769 2 0.500
0.4 7.53932439 -2.53932439 3 0.750
0.6 6.53774071 -1.537740708 4 0.875
0.8 5.66799219 -0.667992186 5 0.938
1 4.91645367 0.083546334 6 0.969
1.2 4.27082849 0.729171506 7 0.969
1.4 3.72002116 1.279978844 8 0.969
1.6 3.25402206 1.745977939
1.8 2.86380331 2.136196692
2 2.54122441 2.45877559 x 0.977
2.2 2.27894701 2.721052995 f(x) 0.00
2.4 2.07035772 2.929642283 c(x) 5.00
2.6 1.90949837 3.090501629
2.8 1.79100288 3.208997117
3 1.71004017 3.289959829
3.2 1.66226252 3.337737476
3.4 1.6437589 3.356241095
3.6 1.65101272 3.348987283
3.8 1.68086361 3.31913639
4 1.73047294 3.269527057
4.2 1.79729254 3.202707455
4.4 1.87903648 3.120963523
4.6 1.97365549 3.026344507
4.8 2.07931395 2.920686053
5 2.19436892 2.805631082
5.2 2.31735134 2.682648662
5.4 2.44694893 2.55305107
5.6 2.58199078 2.418009216
5.8 2.72143342 2.278566584
6 2.86434817 2.135651827
𝑓(𝑥)=20(𝑒^(−0.15𝑥)−𝑒^(−0.5𝑥) )−10+𝐶
𝑐(𝑥)=10− 20(𝑒^(−0.15𝑥)−𝑒^(−0.5𝑥) ) 𝑥_𝑟=(𝑥_𝑖+𝑥_𝑓)/2 si
■8(𝑓(𝑥_𝑖 )𝑓(𝑥_𝑟 )<0 ,𝑥_𝑓=𝑥_𝑟@𝑓(𝑥_𝑖 )
𝑓(𝑥_𝑟 )>0 ,𝑥_𝑖=𝑥_𝑟 )
0 2 4 6 8 10 12
-6
-4
-2
0
2
4
6
8
10
12
1; 5.00
1; 0.00
x
y
