The cubic root of a number N2 can be found by solving x3 – N2 = 0 using modified secant method. Starting with x0 = 0 and taking dx = N1/N2 perform 5 iterations. Assuming the solution obtained by the calculator directly is the exact solution, calculate the true percent error in each iteration. Comment on the convergence of the method. If N1 is zero take it to be 1, if N2 is zero take it to be 11 N1=4 N2=44

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The cubic root of a number N2 can be found by solving x3 – N2 = 0 using modified secant method. Starting with x0 = 0 and taking dx = N1/N2 perform 5 iterations. Assuming the solution obtained by the calculator directly is the exact solution, calculate the true percent error in each iteration. Comment on the convergence of the method. If N1 is zero take it to be 1, if N2 is zero take it to be 11

N1=4 N2=44

 

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