On Numerical Solution of Quasilinear Boundary Value Problems with Two Small Parameters
Year: 1991
Journal of Computational Mathematics, Vol. 9 (1991), Iss. 4 : pp. 321–329
Abstract
We consider the singular perturbation problem −ε2u"+μb(x,u)u′+c(x,u)=0,u(0),u(1) given with two small parameters ε and μ , μ=ε1+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 ε is proved in the discrete L1 norm. Some convergence results are given in the maximum norm as well.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1991-JCM-9407
Journal of Computational Mathematics, Vol. 9 (1991), Iss. 4 : pp. 321–329
Published online: 1991-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9