Transcription of Chapter 10 Numerical solution methods
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Chapter 10 Numerical solution methods
Chapter 10 Numerical solution methods for Engineering Analysis( Chapter 10 Numerical solution methods ) Tai-Ran Hsu*Based on the textbook on Applied Engineering Analysis , by Tai-Ran Hsu, published by John Wiley & Sons, 2018 (ISBN 97811119071204)Applied Engineering Analysis- slides for class teaching*12 Chapter Learning Objectives ( ) Learn the alternative ways of using Numerical methods to solve nonlinear equations, perform integrations, and solve differential equations. Learn the principles of various Numerical techniques for solving nonlinear equations, performing integrations, and solving differential equations by the Runge-Kuttamethods.
10.3.2 The Newton-Raphson Method –a popular method for solving nonlinear equations (p.342) This method offers rapid conv ergence to the roots of many non linear equations from the initial estimated roots. Figure 10.3 illustrates the principle of Newton/Raphson’s method in solving nonlinear equations.
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