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International Conference on Differential & Difference Equations and Applications

ICDDEA 2017: Differential and Difference Equations with Applications pp 93–104Cite as

Hermite–Fejer Polynomials as an Approximate Solution of Singular Integro-Differential Equations

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 230))

Abstract

For full singular integro-differential equations with Gilbert kernel, the collocation method is justified. The approximate solution is sought in the form of Hermite–Fejer polynomial. The convergence of the method is proved and the rate of convergence is estimated.

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Notes

  1. 1.

    Here and further c denotes generic real positive constants, independent from n.

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Author information

Authors and Affiliations

  1. Kazan Federal University, Kazan, Russia

    Alexander Fedotov

Authors
  1. Alexander Fedotov
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Corresponding author

Correspondence to Alexander Fedotov .

Editor information

Editors and Affiliations

  1. Departamento de Ciências Exactas e Engenharia, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. Facultad de Matemáticas, Universidad de Sevilla, Sevilla, Spain

    Tomás Caraballo

  3. Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan, Hubei, China

    Peter Kloeden

  4. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA

    John R. Graef

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Fedotov, A. (2018). Hermite–Fejer Polynomials as an Approximate Solution of Singular Integro-Differential Equations. In: Pinelas, S., Caraballo, T., Kloeden, P., Graef, J. (eds) Differential and Difference Equations with Applications. ICDDEA 2017. Springer Proceedings in Mathematics & Statistics, vol 230. Springer, Cham. https://doi.org/10.1007/978-3-319-75647-9_8

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