Spline based computational technique for linear singularly perturbed boundary value problems

摘要

A fourth order difference scheme via cubic spline in compression for singularly perturbed two point boundary value problems of the form epsilon y" = p(x)y' + q(x)y + r(x), y(a) = alpha(1) y(b) = beta is presented. The convergence analysis is given. Finally computational efficiency of the method is verified through numerical examples.