Syntax

  classdef dtau

Description

   y = dtau(basis, domain, n) creates an object y called dependent
   tau variable. Dependent in the sense that it is related with y 
   in the unknown function y(x) to approximate.

Inputs

   basis  = Orthogonal polynomial basis.
            1 or 'ChebyshevT' to Chebyshev of first kind, 
            2 or 'ChebyshevU' to Chebyshev of second kind, 
            3 or 'LegendreP' to Legendre, 
            4 or 'HermiteH' to Hermite,
            5 or 'LaguerreL' to Laguerre and
            6 or 'GegenbauerC' to Gegenbauer.
   domain = Domain [a b], same interval of orthogonality of the basis.
   n      = dimension of the truncated matrices.
            polinomial basis will have degree n-1.
   alphaC = parameter for Gegenbauer polynomials.

Output

   y = Dependent tau variable (dtau object).

Examples

   y = dtau('LegendreP', [0 10], 100) ............. Customized inputs.
   y = dtau('LegendreP', [0 10]) .............................. n = 5.
   y = dtau('LegendreP') .................. domain = [-1 1] and n = 5.
   y = dtau ......... basis = 'ChebyshevT', domain = [-1 1] and n = 5.               

See also

  itau.