Comparative study on difference schemes for singularly perturbed boundary turning point problems with Robin boundary conditions

In this paper, singularly perturbed convection diffusion boundary turning point problem with Robin boundary conditions is considered. Upwind difference and hybrid difference schemes on Shishkin mesh are proposed to solve this problem. The error bounds for the numerical approximation are established...

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Veröffentlicht in:Journal of applied mathematics & computing 2020-02, Vol.62 (1-2), p.341-360
Hauptverfasser: Janani Jayalakshmi, G., Tamilselvan, Ayyadurai
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, singularly perturbed convection diffusion boundary turning point problem with Robin boundary conditions is considered. Upwind difference and hybrid difference schemes on Shishkin mesh are proposed to solve this problem. The error bounds for the numerical approximation are established for both the schemes. Numerical results are compared for both the schemes to illustrate the corresponding error bounds established.
ISSN:1598-5865
1865-2085
DOI:10.1007/s12190-019-01287-6