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Volume 12, Issue 1
The Application of Integral Equations to the Numerical Solution of Nonlinear Singular Perturbation Problems

Guo-Ying Wang

J. Comp. Math., 12 (1994), pp. 36-45.

Published online: 1994-12

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  • Abstract

The nonlinear singular perturbation problem is solved numerically on non-equidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral equations [1]. The fourth order uniform accuracy of the scheme is proved. A numerical experiment demonstrates the effectiveness of the method. 

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@Article{JCM-12-36, author = {Wang , Guo-Ying}, title = {The Application of Integral Equations to the Numerical Solution of Nonlinear Singular Perturbation Problems}, journal = {Journal of Computational Mathematics}, year = {1994}, volume = {12}, number = {1}, pages = {36--45}, abstract = {

The nonlinear singular perturbation problem is solved numerically on non-equidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral equations [1]. The fourth order uniform accuracy of the scheme is proved. A numerical experiment demonstrates the effectiveness of the method. 

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10224.html} }
TY - JOUR T1 - The Application of Integral Equations to the Numerical Solution of Nonlinear Singular Perturbation Problems AU - Wang , Guo-Ying JO - Journal of Computational Mathematics VL - 1 SP - 36 EP - 45 PY - 1994 DA - 1994/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10224.html KW - AB -

The nonlinear singular perturbation problem is solved numerically on non-equidistant meshes which are dense in the boundary layers. The method presented is based on the numerical solution of integral equations [1]. The fourth order uniform accuracy of the scheme is proved. A numerical experiment demonstrates the effectiveness of the method. 

Wang , Guo-Ying. (1994). The Application of Integral Equations to the Numerical Solution of Nonlinear Singular Perturbation Problems. Journal of Computational Mathematics. 12 (1). 36-45. doi:
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