Singular boundary value problems for ODEs

This paper is concerned with the numerical solution of a system of ordinary di erential equations ODEs y Sy t f t y p on an inter val b subject to boundary conditions g y y b p The ODEs have a coe cient that is singular at t but it is assumed that the boundary value problem BVP has a smooth solution Some popular methods for BVPs evaluate the ODEs at t This paper deals with the practical issues of solving this class of singular BVPs with such a method The bvp c solver of Matlab has been modi ed accordingly so that it can solve a class of singular BVPs as e ectively as it previously solved non singular BVPs keywords boundary value problem BVP ordinary di erential equation ODE singular coe cient Matlab