ME581_Assignment05

ME581_Assignment05 - 1 = x , 1 . 1 1 = x and 2 . 1 2 = x f....

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ME 581 Assignment #5 – Solution of Non-linear equations In the following questions show the derivations that you used to write your programs. 1. Heath: Exercise 5.6. 2. Solve the following equation: 0 5 ) ( 2 = = x x f using a starting value 1 0 = x . Show the result of each iteration. Stop when the tolerance on ) ( x f is less than 0.0001. Write a program to do the iterations. Use the following methods: a. Interval bisection method. b. y x x x g / 1 ) ( 2 + = c. Newton’s method. d. Secant method with 1 0 = x and 1 . 1 1 = x e. Inverse quadratic interpolation with:
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Unformatted text preview: 1 = x , 1 . 1 1 = x and 2 . 1 2 = x f. Linear fractional interpolation with: 1 = x , 1 . 1 1 = x and 2 . 1 2 = x 3. Heath: Exercise 5.9. 4. Heath: Exercise 5.10. 5. Heath: Computer Problem 5.10 (Write a program using (a) Interval bisection method; (b) the secant method). 6. Heath: Computer Problem 5.11 (Write a program using (a) Interval bisection method; (b) the secant method). 7. Heath: Computer Problem 5.23....
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This note was uploaded on 10/16/2011 for the course MECHANICAL 581 taught by Professor Wasfy during the Fall '11 term at IUPUI.

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