naginterfaces.library.ode.bvp_ps_lin_cheb_eval¶
- naginterfaces.library.ode.bvp_ps_lin_cheb_eval(k, x)[source]¶
bvp_ps_lin_cheb_eval
returns the value of the th Chebyshev polynomial evaluated at a point .bvp_ps_lin_cheb_eval
is primarily a utility function for use by the Chebyshev boundary value problem solvers.For full information please refer to the NAG Library document for d02uz
https://support.nag.com/numeric/nl/nagdoc_30.2/flhtml/d02/d02uzf.html
- Parameters
- kint
The order of the Chebyshev polynomial.
- xfloat
The point at which to evaluate the polynomial.
- Returns
- tfloat
The value, , of the Chebyshev polynomial order evaluated at .
- Raises
- NagValueError
- (errno )
On entry, .
Constraint: .
- (errno )
On entry, .
Constraint: .
- Notes
bvp_ps_lin_cheb_eval
returns the value, , of the th Chebyshev polynomial evaluated at a point ; that is, .
- References
Trefethen, L N, 2000, Spectral Methods in MATLAB, SIAM