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Convergence Analysis of Spectral Method for Neutral Multi-pantograph Equations

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Abstract

The main purpose of this work is to provide a spectral method based on the operational matrices of the Legendre polynomials for solving neutral multi-pantograph equations. We analyze the convergence properties of the proposed method. It is shown that for the multi-pantograph equations of neutral type, the spectral method yields the exponential order of convergence. Some examples are given to demonstrate the high precision, fast computation and good performance of the new scheme.

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Authors and Affiliations

  1. Department of Mathematics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran

    S. Sedaghat

  2. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    S. Nemati

  3. Department of Mathematics, Alzahra University, Tehran, Iran

    Y. Ordokhani

Authors
  1. S. Sedaghat
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  2. S. Nemati
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  3. Y. Ordokhani
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Correspondence to S. Sedaghat.

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Sedaghat, S., Nemati, S. & Ordokhani, Y. Convergence Analysis of Spectral Method for Neutral Multi-pantograph Equations. Iran J Sci Technol Trans Sci 43, 2261–2268 (2019). https://doi.org/10.1007/s40995-017-0467-7

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  • DOI: https://doi.org/10.1007/s40995-017-0467-7

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