An efficient spectral method for ordinary differential equations with rational function coefficients
An efficient spectral method for ordinary differential equations with rational function coefficients
We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of orthogonal polynomial families, including all the classical orthogonal polynomials. These families obey a simple 3-term recurrence relation for differentiation, which implies that …