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An Efficient Computational Technique for a System of Singularly Perturbed Initial Value Problems

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Numerical Analysis and Its Applications (NAA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5434))

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Abstract

In this paper, a parameter-uniformly convergent computational technique for a system of singularly perturbed initial value problems, which is applied on a piecewise uniform Shishkin mesh is presented. Numerical experiments are carried out on some test problems which shows almost second order uniform convergence, confirming the efficiency of the proposed technique.

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References

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Bawa, R.K., Kumar, V. (2009). An Efficient Computational Technique for a System of Singularly Perturbed Initial Value Problems. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_18

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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