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Volume 11, Issue 4
Solution for singularly perturbed problems via cubic spline in tension

K. Aruna and A. S. V. Ravi Kanth

J. Info. Comput. Sci. , 11 (2016), pp. 262-269.

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  • Abstract
This paper concerns the solution for singularly perturbed via cubic spline in tension. The derived scheme leads to a tridiagonal system. The error analysis is proved and the method is shown to have a fourth order convergence for the particular choice of the parameters. Computational efficiency of the method is confirmed through numerical examples whose results are in good agreement with theory.
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@Article{JICS-11-262, author = {K. Aruna and A. S. V. Ravi Kanth}, title = {Solution for singularly perturbed problems via cubic spline in tension}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {11}, number = {4}, pages = {262--269}, abstract = {This paper concerns the solution for singularly perturbed via cubic spline in tension. The derived scheme leads to a tridiagonal system. The error analysis is proved and the method is shown to have a fourth order convergence for the particular choice of the parameters. Computational efficiency of the method is confirmed through numerical examples whose results are in good agreement with theory. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22503.html} }
TY - JOUR T1 - Solution for singularly perturbed problems via cubic spline in tension AU - K. Aruna and A. S. V. Ravi Kanth JO - Journal of Information and Computing Science VL - 4 SP - 262 EP - 269 PY - 2024 DA - 2024/01 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22503.html KW - singularly Perturbed Problems, Cubic Spline in Tension, Boundary Value Problems. AB - This paper concerns the solution for singularly perturbed via cubic spline in tension. The derived scheme leads to a tridiagonal system. The error analysis is proved and the method is shown to have a fourth order convergence for the particular choice of the parameters. Computational efficiency of the method is confirmed through numerical examples whose results are in good agreement with theory.
K. Aruna and A. S. V. Ravi Kanth. (2024). Solution for singularly perturbed problems via cubic spline in tension. Journal of Information and Computing Science. 11 (4). 262-269. doi:
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