# Need help with Matlab code

An attractive idea is to combine the reliability of the bisection method with the speed of Newton's method. Such a combination is implemented by running the bisection method until we have a narrow interval, and then switch to Newton's method for speed.

Write a script that implements this idea. Start with the bisection method with an interval [a,b] and switch to Newton's method when the current interval in the bisection method is a fraction ‘s’ of the initial interval (when the interval has length s(b−a)). Potential divergence of Newton's method is still an issue, so if the approximate root jumps out of the narrowed interval (where the solution is known to lie), one can switch back to the bisection method. The value of ‘s’ can be set by the user.

Refer to the assignments for the Bisection and Newton’s method for details on those methods. You may utilize any work done on those assignments.

Find the solution of f(x)=cos(2x)+sin(√x)=0 over 2<x<5 using the combined method as follows:

Define a maximum number of iterations (103) allowed and an error tolerance ϵ (10-6) and fraction of the original rang s=0.1.

Pseudo code

Define an initial range of ‘a’ and ‘b’, and convergence ϵ. Define the fraction ‘s’.

If the current range (b-a) is greater than s(b-a) (the original ‘b’ and ‘a’, then use the bisection method to determine new range (new ‘a’ and ‘b’)

If the current range is less than or equal to s(b-a), then use Newton’s method to solve for the root. (a good initial guess is the average of the current range)

If the current guess for Newton’s method goes outside the current range, then use bisection to get a new range.

Once the root has been found (refer to the Newton’s method), output messages as per the Newton’s method.

( 5 comentários ) Hyderabad, India

ID do Projeto: #19240607

## 13 freelancers estão ofertando em média ₹1602 para esse trabalho

VolKa

Hi. I am very good in Matlab and numerical and sure that will be able to do this within 24 hrs. Regards.

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jlramirezb

Hi my friend, I can help you to develope the algorithm that use bisection and Newton Method to improve the algorithm with Matlab. If it's in my hands I can do it as fast as possible. If you have previous algorithms dev Mais

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mohomedAthif

I can do the task. Have a lot of experience in designing algorithms for numerical methods in MATLAB. Familiar with both Newton's and bisection methods

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suraj12291

Hello, dear friend I am expert in matlab. I have a lot of experiences in many projects. Please discuss for your task. Best regards.

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SaravananA311

hi I have 12+ years experience in MATLAB and an expert in numerical methods. I can complete your task perfectly. I assure quality work in quick time. Let me know if you have any clarifications. regards

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farouks

PhD in electrical engineering (signal processing) from Canada. MSc mathematics (numerical methods). 4 years assistant professor in the mathematics and engineering physics department. 10 years R&D engineer in Toronto Mais

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ZubairGhafoor112

Hi "Don't think I cannot work" Zubair Ghafoor is here. I am an Electrical Engineer having four years of experience in the Matlab. I will provide you with the best service of the work. I have already Mais

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hdeepak93

I have completed the code. This is the error vs number of iterations plot of your problem. accept the bid and take the code. [login to view URL]

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Dear project manager, I am Navid graduated from the industrial information engineering school, the department of Politecnico di Milano, in Italy. I have read your project description and I found out that I can effe Mais

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ANDREWNGT

I have done a very similar project to this on Matlab and will be able to finish this within 2 days. I will also be able to provide comments and any other required technical help.

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MATLAB4all

Hello I am a professional mathematician having 9 years of teaching and project work experience in MATLAB. You have come up with a nice idea which I can surely automate using MATLAB.

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SuprimNegi7

Hi, Yor Project reminds me of Numerical Method subject during my Master's in Mechanical Engineering at IIT Ropar. I had worked on programming various Numerical methods (including Bisection & Newton Raphson) on MA Mais

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