Abstract

CAMACHO-GALVAN, A.; GUARDIAN-SOTO, B.  and  RODRIGUEZ-GREEN, M.. Solución numérica de problemas de valores en la frontera con alta exactitud por métodos espectrales. Ing. invest. y tecnol. [online]. 2005, vol.6, n.3, pp.207-217. ISSN 2594-0732.

Among the methods available for the solution of boundary problems we may find the so-called spectral methods, in which the solution u (x,t) (de pending upon a space-like variable x and a time-like variable) is approximated by afinite sum $v\left(x,t\right)={\sum }_{k=0}^N{a}_k\left(t\right){\varphi }_k\left(x\right)$.In order to have this form, on one hand, a class of functions φk(x), k=1, ..., N, has to be selected, and on the other, the ad equate algorithms for the expansion of the coefficients ak must be chosen.

Keywords : Numerical techniques; finite difference methods; collocation methods; Chebyshev approximation; Gauss-Lobatto points; Gauss-Radau points.

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