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An approximate solution for a neutral functional–differential equation with proportional delays

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  • Cheng, Xue
  • Chen, Zhong
  • Zhang, Qingpu

Abstract

In this paper, a novel algorithm based on reproducing kernel theory for neutral functional–differential equation with proportional delays is proposed. The advantages of the presented method are the establishment of complete ɛ-approximate solution theory and high precision of absolute error. Some examples are given to demonstrate the validity and applicability of the new method and some comparisons are made with the existing results.

Suggested Citation

  • Cheng, Xue & Chen, Zhong & Zhang, Qingpu, 2015. "An approximate solution for a neutral functional–differential equation with proportional delays," Applied Mathematics and Computation, Elsevier, vol. 260(C), pages 27-34.
    • Handle: RePEc:eee:apmaco:v:260:y:2015:i:c:p:27-34
    DOI: 10.1016/j.amc.2015.03.040
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    References listed on IDEAS

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    1. Bellen, Alfredo & Zennaro, Marino, 2003. "Numerical Methods for Delay Differential Equations," OUP Catalogue, Oxford University Press, number 9780198506546.
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    Cited by:

    1. Ezz-Eldien, S.S., 2018. "On solving systems of multi-pantograph equations via spectral tau method," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 63-73.

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