@Article{JCM-9-4, author = {}, title = {On Numerical Solution of Quasilinear Boundary Value Problems with Two Small Parameters}, journal = {Journal of Computational Mathematics}, year = {1991}, volume = {9}, number = {4}, pages = {321--329}, abstract = {

We consider the singular perturbation problem $$-\varepsilon^2u"+\mu b(x,u)u'+c(x,u)=0,u(0),u(1)$$ given with two small parameters $\varepsilon$ and $\mu$ , $\mu =\varepsilon^{1+p},p>0$. 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.

}, issn = {1991-7139}, doi = {https://doi.org/1991-JCM-9407}, url = {https://global-sci.com/article/86016/on-numerical-solution-of-quasilinear-boundary-value-problems-with-two-small-parameters} }