in this paper, we have proposed a numerical method for singularly perturbed  fourth order ordinary differential equations of convection-diffusion type. the numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and  finite difference method. in order to get a numerical solution for the derivative of the solution, the given interval is divided  in...

In a recent article we introduced and studied conical energies. We used them to prove three results: characterization of rectifiable measures, sets with big pieces Lipschitz graphs, sufficient condition for boundedness nice singular integral operators. this note give two examples related sharpness these results. One is due Joyce M\"{o}rters, the other new could be independent interest as an exa...