Finite-difference approximations for singularly perturbed elliptic equations
The author considers the finite-difference approximations of an increased order of accuracy on a strip for singularly perturbed elliptic equations with convective terms. The highest-order derivatives contained in the equations are multiplied by a small parameter. Difference schemes that are uniformly convergent with respect to the parameter with an order of accuracy close to two are constructed on special piecewise uniform grids.
scientific article; zbMATH DE number 1473028