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Legendre wavelet solution of neutral differential equations with proportional delays

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Abstract

The aim of this paper is to solve neutral differential equations with proportional delays by using Legendre wavelet method. Using orthonormal polynomials is the main advantage of this method since it enables a decrease in the computational cost and runtime. Some examples are displayed to illustrate the efficiency and accuracy of the proposed method. Numerical results are compared with various numerical methods in literature and show that the present method is very effectual in solving neutral differential equations with proportional delays.

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Authors and Affiliations

  1. Department of Mathematics, Izmir University of Economics, 35330, Izmir, Turkey

    Sevin Gümgüm, Demet Ersoy Özdek & Gökçe Özaltun

  2. Department of Mathematics, Celal Bayar University, Manisa, Turkey

    Necdet Bildik

Authors
  1. Sevin Gümgüm
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  2. Demet Ersoy Özdek
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  3. Gökçe Özaltun
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  4. Necdet Bildik
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Correspondence to Sevin Gümgüm.

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Gümgüm, S., Özdek, D.E., Özaltun, G. et al. Legendre wavelet solution of neutral differential equations with proportional delays. J. Appl. Math. Comput. 61, 389–404 (2019). https://doi.org/10.1007/s12190-019-01256-z

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  • DOI: https://doi.org/10.1007/s12190-019-01256-z

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