Fitted mesh B-spline method for solving a class of singular singularly perturbed boundary value problems

We develop B-spline method for solving a class of singular singularly perturbed two-point boundary value problems Ly(x) = epsilony"(x) + alpha/x y'(x)+f(x)y(x) = g(x), x is an element of(0,1) y(0) = alpha(0) y(1) = beta(0), alpha0, alpha(0) is an element of R We use the fitted mesh technique to generate piecewise uniform mesh, and use the B-spline method which leads to a tridiagonal linear system. The convergence analysis is given and the method is shown to have uniform convergence. Numerical illustrations are given in the end to demonstrate the efficiency of our method.