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Call for Paper - December – 2022 Edition   

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IJATCA solicits original research papers for the December – 2022 Edition.
Last date of manuscript submission is December 30, 2022.

                                                   

Parameter-uniform hybrid numerical scheme for singularly perturbed initial value problem


Volume: 1 Issue: 1
Year of Publication: 2019
Authors: Subal Ranjan Sahu, Jugal Mohapatra



Abstract

This paper deals with a singularly perturbed initial value problem which depends on a parameter. A hybrid scheme has been constructed by combining a second order cubic spline on the layer region and a midpoint upwind scheme on the smooth region. It is shown that the order of convergence of the proposed method is two in the discrete norm. Error bounds for the numerical solution and its numerical derivative are established. A numerical example is presented which support the theoretical results.

References

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Keywords

Singular perturbation, Hybrid scheme, Shishkin mesh, Initial value problem.




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