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Volume 7, Issue 4
A Spline based computational simulations for solving selfadjoint singularly perturbed two-point boundary value problems

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

J. Info. Comput. Sci. , 7 (2012), pp. 303-314.

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  • Abstract
In this paper, we proposed a spline based computational simulations for solving self-adjoint singularly perturbed two-point boundary value problems. The original problem is reduced to its normal form and the reduced boundary value problem is treated by using difference approximations via cubic splines in tension. The convergence of the method is analyzed. Some numerical examples are given to demonstrate the computational efficiency of the present method.
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@Article{JICS-7-303, author = {K. Aruna and A. S. V. Ravi Kanth}, title = {A Spline based computational simulations for solving selfadjoint singularly perturbed two-point boundary value problems}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {7}, number = {4}, pages = {303--314}, abstract = { In this paper, we proposed a spline based computational simulations for solving self-adjoint singularly perturbed two-point boundary value problems. The original problem is reduced to its normal form and the reduced boundary value problem is treated by using difference approximations via cubic splines in tension. The convergence of the method is analyzed. Some numerical examples are given to demonstrate the computational efficiency of the present method. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22637.html} }
TY - JOUR T1 - A Spline based computational simulations for solving selfadjoint singularly perturbed two-point boundary value problems AU - K. Aruna and A. S. V. Ravi Kanth JO - Journal of Information and Computing Science VL - 4 SP - 303 EP - 314 PY - 2024 DA - 2024/01 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22637.html KW - Self-adjoint, Singularly Perturbed Problems, Difference Approximations, Cubic Spline in Tension. AB - In this paper, we proposed a spline based computational simulations for solving self-adjoint singularly perturbed two-point boundary value problems. The original problem is reduced to its normal form and the reduced boundary value problem is treated by using difference approximations via cubic splines in tension. The convergence of the method is analyzed. Some numerical examples are given to demonstrate the computational efficiency of the present method.
K. Aruna and A. S. V. Ravi Kanth. (2024). A Spline based computational simulations for solving selfadjoint singularly perturbed two-point boundary value problems. Journal of Information and Computing Science. 7 (4). 303-314. doi:
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