Mathcad - modified secant method 2
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This document discusses using the modified secant method to find the root of the function f(x) = ln(2) - 2*ln(x). It provides the initial value of x0 = 3 and time step of δ = 0.0001. The method is implemented in a ModifiedSecantMethod function, which iteratively calculates new values of x until the difference between iterations is less than 10-10. The result, x_Numerical, converges to approximately 1.4142135624.
Mathcad - modified secant method 2
- 1. xxx... = 2 We need to find root of f (x) ln(2) 2ln(x) Find Root from Modified Secant Method 1) Initial x x0 3 2) Time steps δ 0.0001 ModifiedSecantMethod(δx0) i 0 x0 x0 ε0 100 εi 10 10 while xi1 xi f xiδxi f xi δ xi f xi εi1 xi1 xi xi1 100 i i 1 x ε x_Numerical ModifiedSecantMethod(δx0)0 x_Numerical 3 0.7437711009 1.2217389913 1.400486319 1.4141474062 1.4142135641 1.4142135624 1.4142135624