1. Cálculo de la raíz de una ecuación no lineal mediante el Método Numérico de la Falsa Posición
Utilizando macros de VBA de Excel
Ing. Néstor Augusto Oyarce Linares
naoyarcel@gmail.com
2. aFalsaPosicionGrafica - 1
Option Explicit
Sub XY_10_Dic_2020_4()
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 FALSA POSICIÓN
'10 de Diciembre de 2020, ejercicio 4
Cells.Clear
Cells(1, 1).Value = " ECUACIÓN : "
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
Range("A1", "A3").Font.Bold = True
Cells.EntireColumn.AutoFit
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
4. bFalsaPosicionCalculo - 1
Option Explicit
Sub Parte2_Falsa_Posición()
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
'Función de Recurrencia
'c=b-f(b)*(a-b)/(f(a)-f(b))
Cells.Clear
Cells(1, 1).Value = "Método Numérico de la Falsa Posición"
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 = 1.35
Xb = 1.4
For j = 1 To 20
Ya = (Xa) ^ (3) + 2 * (Xa) ^ (2) + 10 * Xa - 20
Yb = (Xb) ^ (3) + 2 * (Xb) ^ (2) + 10 * Xb - 20
Xm = Xb - Yb * (Xa - Xb) / (Ya - Yb)
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 Falsa Posición
Valor de X Valor de Y Xf Yf Iteraciones
1.368638564 -0.003576541 1.368808108 2.22045E-15 8
1.368806583 -3.21669E-05
1.368808094 -2.89284E-07
1.368808108 -2.60159E-09
1.368808108 -2.33955E-11
1.368808108 -2.08278E-13
1.368808108 -2.66454E-15
1.368808108 2.22045E-15