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Volume 8, Issue 1
A Completely Exponentially Fitted Difference Scheme for a Singular Perturbation Problem

Peng-Cheng Lin & Guang-Fu Sun

J. Comp. Math., 8 (1990), pp. 1-15.

Published online: 1990-08

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  • Abstract

A completely exponentially fitted difference scheme is considered for the singular perturbation problem: $\epsilon U^{''}+a(x) U^{'}-b(x) U=f(x) \ {\rm for}  \ 0 \lt x \lt 1$, with U(0), and U(1) given, $\epsilon \in (0,1]$ and $a(x) \gt α \gt 0, b(x)\geq 0$. It is proven that the scheme is uniformly second-order accurate.

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@Article{JCM-8-1, author = {Lin , Peng-Cheng and Sun , Guang-Fu}, title = {A Completely Exponentially Fitted Difference Scheme for a Singular Perturbation Problem}, journal = {Journal of Computational Mathematics}, year = {1990}, volume = {8}, number = {1}, pages = {1--15}, abstract = {

A completely exponentially fitted difference scheme is considered for the singular perturbation problem: $\epsilon U^{''}+a(x) U^{'}-b(x) U=f(x) \ {\rm for}  \ 0 \lt x \lt 1$, with U(0), and U(1) given, $\epsilon \in (0,1]$ and $a(x) \gt α \gt 0, b(x)\geq 0$. It is proven that the scheme is uniformly second-order accurate.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9414.html} }
TY - JOUR T1 - A Completely Exponentially Fitted Difference Scheme for a Singular Perturbation Problem AU - Lin , Peng-Cheng AU - Sun , Guang-Fu JO - Journal of Computational Mathematics VL - 1 SP - 1 EP - 15 PY - 1990 DA - 1990/08 SN - 8 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9414.html KW - AB -

A completely exponentially fitted difference scheme is considered for the singular perturbation problem: $\epsilon U^{''}+a(x) U^{'}-b(x) U=f(x) \ {\rm for}  \ 0 \lt x \lt 1$, with U(0), and U(1) given, $\epsilon \in (0,1]$ and $a(x) \gt α \gt 0, b(x)\geq 0$. It is proven that the scheme is uniformly second-order accurate.

Lin , Peng-Cheng and Sun , Guang-Fu. (1990). A Completely Exponentially Fitted Difference Scheme for a Singular Perturbation Problem. Journal of Computational Mathematics. 8 (1). 1-15. doi:
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