The Application of Integral Equations to the Numerical Solution of Nonlinear Singular Perturbation Problems

The Application of Integral Equations to the Numerical Solution of Nonlinear Singular Perturbation Problems

Year:    1994

Author:    Guo-Ying Wang

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 1 : pp. 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. 

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1994-JCM-10224

Journal of Computational Mathematics, Vol. 12 (1994), Iss. 1 : pp. 36–45

Published online:    1994-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:   

Author Details

Guo-Ying Wang