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On Numerical Solution of Quasilinear Boundary Value Problems with Two Small Parameters

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

Keywords: