Page TOC-15
Fourier series
, 16-27
Function
FOURIER,
16-28
Fourier series for a quadratic function, 16-29
Fourier series for a triangular wave, 16-35
Fourier series for a square wave, 16-39
Fourier series applications in differential equations, 16-42
Fourier Transforms
, 16-43
Definition of Fourier transforms, 16-46
Properties of the Fourier transform, 16-48
Fast Fourier Transform (FFT)
, 16-49
Examples of FFT applications, 16-50
Solution to specific second-order differential equations
, 16-53
The Cauchy or Euler equation , 16-53
Legendre’s
equation,
16-54
Bessel’s
equation,
16-55
Chebyshev or Tchebycheff polynomials, 16-57
Laguerre’s
equation,
16-58
Weber’s equation and Hermite polynomials, 16-59
Numerical and graphical solutions to ODEs
, 16-60
Numerical solution of first-order ODE, 16-60
Graphical solution of first-order ODE, 16-62
Numerical solution of second-order ODE, 16-64
Graphical solution for a second-order ODE, 16-66
Numerical solution for stiff first-order ODE, 16-68
Numerical solution to ODEs with the SOLVE/DIFF menu
, 16-69
Function
RKF,
16-70
Function
RRK,
16-71
Function
RKFSTEP,
16-72
Function
RRKSTEP,
16-73
Function
RKFST,
16-72
Function
RKFERR,
16-72
Function
RSBERR,
16-73
Chapter 17 - Probability Applications
, 17-1
The MTH/PROBABILITY.. sub-menu - part 1
, 17-1
Factorials, combinations, and permutations, 17-1