High Order Methods For Singular Two-point Boundary Value Problems

Variable mesh finite difference method of fifth order have been derivedfor solution of singular two point boundary value problem, which reduces to themethod of order six, for uniform mesh case. these methods are self starting and areexact for u =r-1• the convergence of the sixth order method is discussed. theabsolute error, for solution of four problems, two linear and two nonlinear are listedto show the accurate and effectiveness of the present method.