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LECTURE 07

# LECTURE 07 - Lecture 7 Lecture 7 MEEN 357 Engineering...

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Lecture 7 MEEN 357 Engineering Analysis for Mechanical Engineers 2 Lecture-07-MEEN357-2009.doc RMB Roots to Nonlinear Equations Chapter 5 and 6 of the textbook. We are looking at various ways to find the roots of the equation ( ) 0 fx = (7.1) in some given interval of the real axis. As explained during Lectures 5 and 6, there are two methods that are used to find the roots of the function ( ) yfx = . Bracketing method: This method involves first establishing that the root lies within some interval and the use of an iteration scheme to find the root. o We discussed ± Bisection Method ± False Position Method Open method: An open method utilizes formulas that only require a single starting value or two starting values that do not necessarily bracket the root. o We discussed ± Newton-Raphson method ± Secant Method MATLAB Resources: 1. For the bisection method, the textbook provided, bisect.m. 2. For the false position method, we modified the bisect.m file and named it falsepos.m 3. For the Newton-Raphson method, the textbook provided newtraph.m . 4. The built in MATLAB command fzero can also be used. This command was discussed in Lecture 5. It is also discussed in Section 6.4 of the textbook.
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LECTURE 07 - Lecture 7 Lecture 7 MEEN 357 Engineering...

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