Regula-Falsi Iterative Formula: Xnew = xp - [(f(xp) * (xp – xn)) / (f(xp) – f(xn))]   Problem: f(x) = x3 + 5x2 + 7x – 20 Use initial value of (1,2). Stop if you reach 5 iterations.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Regula-Falsi
Iterative Formula:
Xnew = xp - [(f(xp) * (xp – xn)) / (f(xp) – f(xn))]
 
Problem:
f(x) = x3 + 5x2 + 7x – 20
Use initial value of (1,2). Stop if you reach 5 iterations.
Table for Secant Method
хо
1.000
2.000
Fx0
-7.000
22.000
X1
2.000
1.241
Fx1
22.000
-1.701
xnew
1.241
fxnew
-1.701
Transcribed Image Text:Table for Secant Method хо 1.000 2.000 Fx0 -7.000 22.000 X1 2.000 1.241 Fx1 22.000 -1.701 xnew 1.241 fxnew -1.701
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