Pointwise and weighted a priori estimates of the solution and its first derivative for a singularly perturbed convection-diffusion equation (Q1873461)

This paper is an immediate continuation of the author's previous paper [A priori estimates for solutions of monotone three-point singularly perturbed finite-difference schemes, Preprint, Moscow: MAKA Press (2001)]. One of the main goals of the present paper is to obtain pointwise and weighted estimates of solutions of a two-point boundary value problem for a singularly perturbed convection-diffusion equation in divergent or non-divergent form without turning points. The author develops a technique for deriving such a priori estimates, which can be used in grid computations.