Numerical Analysis

Exercises ..................................................................................................................................... 8-26Solutions to Exercises................................................................................................................. 8-28Chapter 9Solution of Differential Equations by Numerical MethodsTaylor Series Method................................................................................................................... 9-1Runge-Kutta Method................................................................................................................... 9-5Adams’ Method.......................................................................................................................... 9-13Milne’s Method .......................................................................................................................... 9-16Summary..................................................................................................................................... 9-17Exercises ..................................................................................................................................... 9-20Solutions to Exercises................................................................................................................. 9-21Chapter 10Integration by Numerical MethodsThe Trapezoidal Rule................................................................................................................. 10-1Simpson’s Rule ........................................................................................................................... 10-6Summary................................................................................................................................... 10-13Exercises ................................................................................................................................... 10-15Solution to Exercises ................................................................................................................ 10-16Chapter 11Difference EquationsDefinition, Solutions, and Applications..................................................................................... 11-1Fibonacci Numbers .................................................................................................................... 11-7Summary................................................................................................................................... 11-10Exercises ................................................................................................................................... 11-13Solutions to Exercises............................................................................................................... 11-14Chapter 12Partial Fraction ExpansionPartial Fraction Expansion.........................................................................................................12-1Alternate Method of Partial Fraction Expansion ....................................................................12-13Summary...................................................................................................................................12-18Exercises ...................................................................................................................................12-21Solutions to Exercises...............................................................................................................12-22ivNumerical Analysis Using MATLAB and Spreadsheets, Second EditionOrchard Publications