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Tau approximate solution of linear pantograph Volterra delay-integro-differential equation

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Abstract

The operational Tau method is used to find numerical solution of linear pantograph Volterra delay-integro-differential equation. Meanwhile, error estimate and convergence analysis are given for the operational Tau method. Numerical results reveal that the method is effective.

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Acknowledgements

The authors are greatly indebted to the referees for useful comments. This work was supported by the National Natural Science Foundation of China under the Grants nos. 11771112 and 11671112.

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Authors and Affiliations

  1. School of Mathematical Science, Qufu Normal University, Qufu, 273165, China

    Jingjun Zhao

  2. School of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

    Yang Cao & Yang Xu

Authors
  1. Jingjun Zhao
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  2. Yang Cao
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  3. Yang Xu
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Correspondence to Yang Xu.

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Communicated by Hui Liang.

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Zhao, J., Cao, Y. & Xu, Y. Tau approximate solution of linear pantograph Volterra delay-integro-differential equation. Comp. Appl. Math. 39, 46 (2020). https://doi.org/10.1007/s40314-020-1080-5

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  • DOI: https://doi.org/10.1007/s40314-020-1080-5

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