Write programs (or a program) to implement the following algorithms: a. Bisection Method b. False Position...
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Write programs (or a program) to implement the following algorithms: a. Bisection Method b. False Position Method c. Modified False Position Method d. Secant Method e. Newton Method Apply these methods to find the real root of the equation f(x)= x³ + 2x² +10x - 20 Compare the convergence rates of the above methods by tabulating the iteration number(n). the values of x₂ and f(x₂) for the following cases. a. Lower value = 0, Upper value= and use the absolute error criteria of 10-6. b. Lower value = 0, Upper value = 2, and use the absolute error criteria of 10-8. c. Lower value = 0, Upper value = 2, and use the absolute error criteria of 10-10 d. Lower value = 0, Upper value = 10, and use the absolute error criteria of 10-6 e. Lower value = 0, Upper value = 10, and use the absolute error criteria of 10-³ f. Lower value = 0, Upper value = 10, and use the absolute error criteria of 10-1⁰ Compare and discuss the results. Write programs (or a program) to implement the following algorithms: a. Bisection Method b. False Position Method c. Modified False Position Method d. Secant Method e. Newton Method Apply these methods to find the real root of the equation f(x)= x³ + 2x² +10x - 20 Compare the convergence rates of the above methods by tabulating the iteration number(n). the values of x₂ and f(x₂) for the following cases. a. Lower value = 0, Upper value= and use the absolute error criteria of 10-6. b. Lower value = 0, Upper value = 2, and use the absolute error criteria of 10-8. c. Lower value = 0, Upper value = 2, and use the absolute error criteria of 10-10 d. Lower value = 0, Upper value = 10, and use the absolute error criteria of 10-6 e. Lower value = 0, Upper value = 10, and use the absolute error criteria of 10-³ f. Lower value = 0, Upper value = 10, and use the absolute error criteria of 10-1⁰ Compare and discuss the results.
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Bisection Method Python def bisectionf a b epsilon Finds the root of a function using the bisection method Args f The function to find the root of a The lower bound of the interval to search in b The ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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