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A numerical approach for solving singularly perturbed convection delay problems via exponentially fitted spline method

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In this paper an exponentially fitted spline method is presented for solving singularly perturbed convection delay problems with boundary layer at left (or right) end of the domain. The error analysis of the scheme is investigated. It is shown that the proposed scheme provides second order accuracy, independent of the perturbation parameter. Numerical results are presented to illustrate the efficiency of the method.

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Acknowledgements

The authors would like to express their sincere thanks and gratitude to the editors and reviewers for their insightful comments and suggestions for the improvement of this paper. Also, the authors would like to thank National Board for Higher Mathematics (NBHM), Government of India for providing financial support under the Grant Number \( 2/48(12)/2013/\text {NBHM(R.P.)/R} \& \text {D II/1084}\).

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  1. Department of Mathematics, National Institute of Technology Kurukshetra, Kurukshetra, Haryana, 136 119, India

    Ravi Kanth Adivi Sri Venkata & Murali Mohan Kumar Palli

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  1. Ravi Kanth Adivi Sri Venkata
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  2. Murali Mohan Kumar Palli
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Correspondence to Ravi Kanth Adivi Sri Venkata.

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Adivi Sri Venkata, R.K., Palli, M.M.K. A numerical approach for solving singularly perturbed convection delay problems via exponentially fitted spline method. Calcolo 54, 943–961 (2017). https://doi.org/10.1007/s10092-017-0215-6

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  • DOI: https://doi.org/10.1007/s10092-017-0215-6

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