Using the Regula Falsi method f(x) = Vx – five iterations. cos x on [0, 1] for |

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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ICTE 361 Introduction to Numerical Methods
Assignment 3.
Instruction: Answer all question. Write your name and index number
clearly on your submission. You can write your answer by hand,
scan it and upload to the Vclass as pdf or you can type it in MS
word, save it as pdf and upload it to the Vclass.
1. Using the Regula Falsi method f(x) = Vx
cos x on [0, 1] for
five iterations.
2. Use the Bisection method to find an approximation to v3 correct
to within a tolerance level of 10¬4. Show working and tabulate
your result including the error at each stage of iteration.
3. Use Newton's method to find solutions of the non-linear equation
for five iterations. Show working and tabulate your results
f(x)=x – cos x ,
Xo = 0
4. With the aid of a diagram derive the secant method formular for
solving nonlinear equations and use it to find the root of
x - cos x = 0, on [0, a/2] for four iterations. Show working
and tabulate your results.
Transcribed Image Text:ICTE 361 Introduction to Numerical Methods Assignment 3. Instruction: Answer all question. Write your name and index number clearly on your submission. You can write your answer by hand, scan it and upload to the Vclass as pdf or you can type it in MS word, save it as pdf and upload it to the Vclass. 1. Using the Regula Falsi method f(x) = Vx cos x on [0, 1] for five iterations. 2. Use the Bisection method to find an approximation to v3 correct to within a tolerance level of 10¬4. Show working and tabulate your result including the error at each stage of iteration. 3. Use Newton's method to find solutions of the non-linear equation for five iterations. Show working and tabulate your results f(x)=x – cos x , Xo = 0 4. With the aid of a diagram derive the secant method formular for solving nonlinear equations and use it to find the root of x - cos x = 0, on [0, a/2] for four iterations. Show working and tabulate your results.
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