Robust a posteriori error bounds for Spline collocation applied to singularly perturbed reaction-diffusion problems

Abstract

© 2016, Kent State University. Collocation with arbitrary order C1-splines for a singularly perturbed reaction-diffusion problem in one dimension is studied. Robust a posteriori error bounds are derived for the collocation method on arbitrary meshes. These bounds are used to drive an adaptive mesh moving algorithm. Numerical results are presented.