Método Numérico de Biseccion Calculado con Macros VBA de Excel

1. Cálculo de la raíz de una ecuación no lineal mediante el Método Numérico de la Bisección
Utilizando macros de VBA de Excel
Ing. Néstor Augusto Oyarce Linares
naoyarcel@gmail.com

2. aBiseccionGrafica - 1
Option Explicit
Sub XY_10_Dic_2020_3()
Dim X As Double, Y As Double, i As Integer, X1 As Double, X0 As Double, XX As Double
Dim Err As Double, YD As Double, j As Integer, gx0 As Double, gx As Double
'Método Numérico de BISECCIóN
'10 de Diciembre de 2020, ejercicio 3
Cells.Clear
Cells(1, 1).Value = " ECUACION : "
Cells(3, 1).Value = " X^3+2*X^2+10*X-20"
Cells(1, 2).Value = " ENSAYOS : "
Cells(3, 2).Value = " X "
Cells(3, 3).Value = " Y "
For i = 1 To 10
X = 1 + i / 10
Y = (X) ^ (3) + 2 * (X) ^ (2) + 10 * X - 20
Cells(i + 3, 2).Value = X
Cells(i + 3, 3).Value = Y
If Y > 0 Then Exit For
Next i
End Sub
Sub Crea_grafico()
Dim grafico As ChartObject
Dim wks As Worksheet
Set wks = ActiveWorkbook.Sheets("Hoja1")
Set grafico = wks.ChartObjects.Add(Left:=400, Width:=450, Top:=50, Height:=200)
grafico.Name = "Grafico_1"
grafico.Chart.ChartType = xlXYScatterSmoothNoMarkers
grafico.Chart.SetSourceData Source:=wks.Range("B4:D15")
End Sub
' Ing. Néstor Augusto Oyarce Linares

3. ECUACION : ENSAYOS :
X^3+2*X^2+10*X-20 X Y
1.1 -5.249
1.2 -3.392
1.3 -1.423
1.4 0.664
-6
-5
-4
-3
-2
-1
0
1
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
Series1
Series2

4. bBiseccionCalculo - 1
Option Explicit
Sub Parte2_Biseccion()
Dim Xa As Double, Ya As Double, i As Integer, Xb As Double, Xm As Double, Yb As Double
Dim Error As Double, Ym As Double, j As Integer, X As Double, Y As Double
Cells.Clear
Cells(1, 1).Value = "Método Numérico de la Biseccion"
Cells(2, 2).Value = "Valor de X"
Cells(2, 3).Value = "Valor de Y"
Cells(2, 5).Value = " Xf "
Cells(2, 6).Value = " Yf "
Cells(2, 7).Value = "Iteraciones"
Xa = 1.3
Xb = 1.4
For j = 1 To 20
Xm = (Xa + Xb) / 2
Ya = (Xa) ^ (3) + 2 * (Xa) ^ (2) + 10 * Xa - 20
Yb = (Xb) ^ (3) + 2 * (Xb) ^ (2) + 10 * Xb - 20
Ym = (Xm) ^ (3) + 2 * (Xm) ^ (2) + 10 * Xm - 20
If Ya * Ym < 0 Then Xb = Xm Else Xa = Xm
Error = Abs(Xa - Xb)
Cells(j + 3, 2).Value = Xm
Cells(j + 3, 3).Value = Ym
If Error <= 0.000001 Then Exit For
Next j
X = Xm
Y = X ^ (3) + 2 * X ^ (2) + 10 * X - 20
Cells(4, 5).Value = X
Cells(4, 6).Value = Y
Cells(4, 7).Value = j
Range("E1", "E4").Font.Bold = True
Range("E1", "E4").Font.Color = RGB(8, 44, 196)
Cells.EntireColumn.AutoFit
End Sub
' Ing. Néstor Augusto Oyarce Linares

5. Método Numérico de la Biseccion
Valor de X Valor de Y Xf Yf Iteraciones
1.35 -0.394625 1.368808746 1.34702E-05 17
1.375 0.130859375
1.3625 -0.132833984
1.36875 -0.00122583
1.371875 0.06475705
1.3703125 0.03175069
1.36953125 0.015258702
1.369140625 0.007015504
1.368945313 0.002894604
1.368847656 0.000834329
1.368798828 -0.000195765
1.368823242 0.000319278
1.368811035 6.17555E-05
1.368804932 -6.70051E-05
1.368807983 -2.62484E-06
1.368809509 2.95653E-05
1.368808746 1.34702E-05