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Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions. (English) Zbl 0987.65122
This paper presents an analysis of a two-part algorithm for solving linear differential equations using a Chebyshev spectral method. Theorems and illustrations pertaining to the method are established using examples.

MSC:
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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