Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains
Pseudospectral method using generalized Laguerre functions for singular problems on unbounded domains
In this paper, we develop a pseudospectral method for differentialequations defined on unbounded domains. We first introduceGauss-type interpolations using a family of generalized Laguerrefunctions, and establish basic approximation results. Then wepropose a pseudospectral method for differential equations onunbounded domains, whose coefficients may degenerate or grow up. Asexamples, we consider two …