Collocation for Singular Boundary Value Problems of Second Order
Ewa B Weinmüller · SIAM Journal on Numerical Analysis · 1986
The collocation methods for solving linear boundary value problems with a singularity of the first kind are investigated. The stability and convergence results are established. Particular attention is paid to the superconvergence properties of the methods, which are different as in the classical case when the singularity is not present. The results are extended to the nonlinear case and illustrated by numerical examples.