# Recent questions in Mathematical Methods for Numerical Analysis and Optimization

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# Compare and describe, which one is the best fact convergent for among Secant, Regula Falsi and Bisection methods

Compare and describe, which one is the best fact convergent for among Secant, Regula Falsi and Bisection methods
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# The Crank Nicolson Method for system of PDE's

Good day, Please i need The Crank Nicolson Method for system of PDE's matlab or mathematica code.
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# Numerical Analysis newton raphson method

I want a Correct answer of this equation 3x-cos x− 1=0. according to Newton Raphson Method and it is correct to four decimal placesQuestion:-Find the real root of the equation 3x-cos x− 1=0.correct to four decimal places using the Newton Raphson Method.
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# Modified euler method as predictor corrector method

(a) Suppose that y = y(x) is the solution to the initial value problem dy dx = cosy, y(0) = 0 use Modiﬁed Euler’s method as a predictor-corrector pair (with one correction at each step), taking h = 0.1 and obtain approximation to y(0.1) and y(0.2). Fill in the blanks: (a) y1(0.1) = y(p) 1 (0.1) = , (b) y(c) 1 (0.1) = ,(c) y1(0.2) = y(p) 1 (0.2) = , (b) y(c) 1 (0.2)
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