NUMERICAL SCHEMES FOR DEGENERATE BOUNDARY-VALUE-PROBLEMS

Methods for accurately determining solutions of degenerate boundary value problems are described. Nonlinear problems are first approximated by sequences of linear problems. A finite difference procedure which incorporates the effect of the degeneracy in the matrix of the linear discretized system of equations is developed. The simple tridiagonal structure of the matrix allows fast, accurate calculations to be performed with quite modest computer support. The results are readily improved using Richardson extrapolation.