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. Learn the fact that Numerical methods offer approximate but credible accurate solutions to the problems that are not readily or possibly solved by closed-form solution methods . Learn the fact that Numerical solutions are available to the users only at the preset solution points, and the accuracy of the solution is largely depending on the size of the increments of the variable selected for the solutions.
10.1 Introduction Numerical methods are techniques by which the mathematical problems involved with the engineering analysis cannot readily or possibly be solved by analytical methods such as those presented in previous chapters of this book. We will learn from this chapter on the use of some of these numerical methods that will
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