NUMERICAL SCHEMES FOR DEGENERATE BOUNDARY-VALUE-PROBLEMS

Methods for accurately determining solutions of degenerate boundary va lue problems are described. Nonlinear problems are first approximated by sequences of linear problems. A finite difference procedure which i ncorporates the effect of the degeneracy in the matrix of the linear d iscretized system of equations is developed. The simple tridiagonal st ructure of the matrix allows fast, accurate calculations to be perform ed with quite modest computer support. The results are readily improve d using Richardson extrapolation.