Page 10 - Numerical Analysis Using MATLAB and Excel

8 Linear and Parabolic Regression 8−1
8.1 Curve Fitting ..........................................................................................................8−1
8.2 Linear Regression ...................................................................................................8−2
8.3 Parabolic Regression ..............................................................................................8−7
8.4 Regression with Power Series Approximations ....................................................8−14
8.5 Summary ..............................................................................................................8−24
8.6 Exercises ...............................................................................................................8−26
8.7 Solutions to End−of−Chapter Exercises ...............................................................8−28
MATLAB Computations: Pages 8−11 through 8−14, 8−17 through 8−23,
8−30 through 8−34
Excel Computations: Pages 8−5 through 8−10, 8−15 through 8−19, 8−28 through 8−32

9 Solution of Differential Equations by Numerical Methods 9−1

9.1 Taylor Series Method ............................................................................................ 9−1
9.2 Runge−Kutta Method ............................................................................................ 9−5
9.3 Adams’ Method ................................................................................................... 9−13
9.4 Milne’s Method .................................................................................................... 9−15
9.5 Summary .............................................................................................................. 9−17
9.6 Exercises .............................................................................................................. 9−20
9.7 Solutions to End−of−Chapter Exercises .............................................................. 9−21

MATLAB Computations: Pages 9−5, 9−9 through 9−12, 9−21 through 9−23
Excel Computations: Page 9−2, 9−14, 9−22 through 9−26

10 Integration by Numerical Methods 10−1

10.1 The Trapezoidal Rule .......................................................................................... 10−1
10.2 Simpson’s Rule ..................................................................................................... 10−6
10.3 Summary ............................................................................................................ 10−14
10.4 Exercises ............................................................................................................ 10−15
10.5 Solution to End−of−Chapter Exercises .............................................................. 10−16

MATLAB Computations: Pages 10−3 through 10−6, 10−9 through 10−13,
10−16, 10−18 through 10−21
Excel Computations: Pages 10−10, 10−19 through 10−21

11 Difference Equations 11−1

11.1 Introduction ......................................................................................................... 11−1
11.2 Definition, Solutions, and Applications .............................................................. 11−1
11.3 Fibonacci Numbers .............................................................................................. 11−7

iv Numerical Analysis Using MATLAB® and Excel®, Third Edition
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