Variable-Mesh Difference Scheme Singularly-Perturbed Boundary-Value Problems Using Splines

摘要

A second-order variablc-mesh difference '.diems via cubic splines for singularly-perturbed boundary-value problems of the form y"-p{x)y' + q(x)y + r(x), y(a) = an, y(b) = (n,is presented. The convergence analysis is given and ihc method is shown to have quadratic convergence. Several test exasnnlas nn* solved to demonstrate the efficiency ol the method.