Galerkin-Petrov method for strongly nonlinear singularly perturbed boundary value problems on special meshes Original Research Article

This note considers strongly nonlinear systems. To numerically analyze boundary value problems, special adaptive meshes and parabolic splines are used. A theorem on the convergence of approximate solutions to exact solutions is proved. Error estimates of order O(1/m2), where m is a number of knots of the special partition, are established.