New variants of defect correction for boundary value problems in ordinary differential equations
New variants of defect correction for boundary value problems in ordinary differential equations
In this paper we discuss new variants of the acceleration technique known as Iterated Defect Correction (IDeC) for the numerical solution of boundary value problems in ordinary differential equations. A first approximation, computed by the backward Euler scheme, is iteratively improved to obtain a high order solution. Typically, the maximal …