MAT224: Project• Only Octave (or MATLAB) is allowed.• Submit the files (all programming files and the report file ( the file containing the figures with your comments) electronically via Moodle all in one zipped file. Note that your programme will be checked and executed.• The name of the submitted file has to contain a name and ID of one of the group members• Names of group members have to appear within the programming filesObjectives:1. Numerical analysis of bisection and Newton methods performance.2. Build a hybrid method and compare its performance to both Bisection and Newton.Work:1. Use the provided codes of bisection and newton (you have to add comments) to solve numerically a rational function of your choice with both methods.a. Save in a file last iteration, last result and last error.b. Plot the error curve for Bisection and Newton in a single figure.c. Comment (compare performance)Remark: Take a large initial interval for a better graph quality.2. Combine both methods to take advantage of the strength of each of thema. Explain how you perform the couplingb. Provide the code for the new methodc. Provide the graph of the error for the new method, bisection and Newton on a single figured. CommentImportant• Use the provided word template (no other file is accepted) for your report.• Put all files in a single directory and submit is as a single zipped file (use standard tool for zipping). Name the zipped file by: nameID (use the name of one of the group) name: (Abdulaziz Taleb 210077)• Don’t copy programs from internet, or from other groups. I need to see your work.• Marks will be deducted for uncommented and non-running codes (codes with bugs) (programs), and non-respect of submission requirements.
