caa a22 4500 378857770 CHVBK 20180305123339.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0028 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0028 Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes [Elektronische Daten] In this paper, parameter - uniform numerical methods for singularly perturbed ordinary differential equations containing two small parameters are studied.Parameter-explicit theoretical bounds on the derivatives of the solutions are derived. A numerical algorithm based on an upwind finite difference operator and an appropriate piecewise uniform mesh is constructed. Parameter-uniform error bounds for the numerical approximations are established. Numerical results are given to illustrate the parameter-uniform convergence of numerical approximations. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. two parameter nationallicence reaction-convection-diffusion nationallicence piecewise-uniform mesh nationallicence O' Riordan Eugene School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland. Pickett Maria L. School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland. Shishkin Georgii I. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., 620219 Ekaterinburg, Russia. Computational Methods in Applied Mathematics De Gruyter 3/3(2003), 424-442 1609-4840 3:3<424 2003 3 cmam https://doi.org/10.2478/cmam-2003-0028 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0028 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- O' Riordan Eugene School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland NATIONALLICENCE 700 1- Pickett Maria L. School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland NATIONALLICENCE 700 1- Shishkin Georgii I. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16 S. Kovalevskaya Str., 620219 Ekaterinburg, Russia NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/3(2003), 424-442 1609-4840 3:3<424 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter