Numerical analysis of singularly perturbed nonlinear reaction-diffusion problems with multiple solutions

摘要

Semi linear reaction-diffusion two-point boundary value problems with multiple solutions are considered. Here the second-order derivative is multiplied by a small positive parameter and consequently these solutions can have boundary or interior layers. A survey is given of the results obtained in our recent investigations into the numerical solution of these problems on layer-adapted meshes. (C) 2006 Elsevier Ltd. All rights reserved.