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Laguerre Matrix-Collocation Method to Solve Systems of Pantograph Type Delay Differential Equations

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4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019) (CMES 2019)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1111))

Abstract

In this study, an improved matrix method based on collocation points is developed to obtain the approximate solutions of systems of high-order pantograph type delay differential equations with variable coefficients. These kinds of systems described by the existence of linear functional argument play a critical role in defining many different phenomena and particularly, arise in industrial applications and in studies based on biology, economy, electrodynamics, physics and chemistry. The technique we have used reduces the mentioned delay system solution with the initial conditions to the solution of a matrix equation with the unknown Laguerre coefficients. Thereby, the approximate solution is obtained in terms of Laguerre polynomials. In addition, several examples along with error analysis are given to illustrate the efficiency of the method; the obtained results are scrutinized and interpreted.

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Authors and Affiliations

  1. Institute of Mathematics, Johannes Gutenberg-University Mainz, Mainz, Germany

    Burcu Gürbüz

  2. Department of Computer Engineering, Üsküdar University, İstanbul, Turkey

    Burcu Gürbüz

  3. Jean Leray Mathematics Lab, University of Nantes, Nantes, France

    Burcu Gürbüz

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

    Mehmet Sezer

Authors
  1. Burcu Gürbüz
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  2. Mehmet Sezer
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Corresponding author

Correspondence to Burcu Gürbüz .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Gauhati University, Guwahati, India

    Hemen Dutta

  2. FSTE, Moulay Ismail University, Meknes, Morocco

    Zakia Hammouch

  3. Department of Mathematics, Fırat University, Elâzığ Merkez, Turkey

    Hasan Bulut

  4. Faculty of Education, Department of Mathematics and Science Education, Harran University, Sanliurfa, Turkey

    Haci Mehmet Baskonus

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Gürbüz, B., Sezer, M. (2020). Laguerre Matrix-Collocation Method to Solve Systems of Pantograph Type Delay Differential Equations. In: Dutta, H., Hammouch, Z., Bulut, H., Baskonus, H. (eds) 4th International Conference on Computational Mathematics and Engineering Sciences (CMES-2019). CMES 2019. Advances in Intelligent Systems and Computing, vol 1111. Springer, Cham. https://doi.org/10.1007/978-3-030-39112-6_8

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  • DOI: https://doi.org/10.1007/978-3-030-39112-6_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-39111-9

  • Online ISBN: 978-3-030-39112-6

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