Nonpolynomial spline approach to the solution of a system of second-order boundary-value problems

摘要

We use a cubic spline equivalent nonpolynomial spline functions to develop a numerical method for computing approximations to the solution of a system of second-order boundary-value problems associated with obstacle, unilateral, and contact problems. We show that the present method gives approximations which are better than those produced by other collocation, finite difference and spline methods. Convergence analysis of the method is discussed. A numerical example is given to illustrate practical usefulness of our method.