Jacobi spectral method for differential equations with rough asymptotic behaviors at infinity
The author uses a suitable variable transformation to reform some differential equations on the half line, and then fits the solutions of the resulting singular problems on the finite interval by the Jacobi polynomials. Also the numerical solutions with some unusual projections of the genuine solutions are compared, and then error measures in certain Hilbert spaces are presented. The algorithm does not require any quadratures on the half line and keeps the spectral accuracy. Some numerical results are given.
scientific article; zbMATH DE number 2082254