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A class of quasilinear singularly perturbed boundary value problems with aturning point of attractive type is considered. The problems are solvednumerically by a finite-difference scheme on a special discretization meshwhich is dense near the turning point. The scheme is a combination of thestandard central and midpoint schemes and is practically second-order accurate.Pointwise accuracy is uniform in the perturbation parameter and, moreover, L1errors decrease when the perturbation parameter tends to 0. This is achieved bythe use of meshes which generalize the piecewise equidistant Shishkin mesh. Twoparticular types of meshes are considered and compared.

Piecewise equidistant meshes for quasilinear turning point problems: Technical report