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B-spline and singular higher-order boundary value problems

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Abstract

In this paper, B-spline method is developed to find an approximate solution for singular linear and non-linear higher-order differential equation. Error analysis is presented. The method is then tested on linear and nonlinear examples. The numerical results reveal that B-spline method is very efficient and accurate.

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Acknowledgments

The authors are grateful for the referees for their valuable comments and suggestions on the original manuscript.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Mansoura, Egypt

    Mohamed El-Gamel & Neveen El-Shamy

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  1. Mohamed El-Gamel
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  2. Neveen El-Shamy
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Correspondence to Mohamed El-Gamel.

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El-Gamel, M., El-Shamy, N. B-spline and singular higher-order boundary value problems. SeMA 73, 287–307 (2016). https://doi.org/10.1007/s40324-016-0069-x

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