TY - JOUR
T1 - On Numerical Solution of Quasilinear Boundary Value Problems with Two Small Parameters
AU - Relja Vulanovic
JO - Journal of Computational Mathematics
VL - 4
SP - 321
EP - 329
PY - 1991
DA - 1991/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9407.html
KW - 
AB - <p style="text-align: justify;">We consider the singular perturbation problem $$-\varepsilon^2u&quot;+\mu b(x,u)u&#39;+c(x,u)=0,u(0),u(1)$$ given with two small parameters $\varepsilon$ and $\mu$ , $\mu =\varepsilon^{1+p},p&gt;0$. The problem is solved numerically by using finite difference schemes on the mesh which is dense in the boundary layers. The convergence uniform in $\varepsilon$ is proved in the discrete $L^1$ norm. Some convergence results are given in the maximum norm as well.</p>