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 formεy″=p(x)y′+q(x)y+r(x),y(a)=α,y(b)=βis presented. The convergence analysis is given. Finally computational efficiency of the method is verified through numerical examples.