Finite-difference methods for twelfth-order boundary-value problems (Q803739)

The problem \(w^{(xii)}(x)=f(x,w(x))\) with suitable boundary conditions of Dirichlet type is reduced to a system of six second order differential equations and then discretized by ordinary central differences. An algorithm to handle the nonlinearity is given. The paper is completed by one example using a global extrapolation step.