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A spectral method for the solution of boundary value problems

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  • Egidi, Nadaniela
  • Maponi, Pierluigi

Abstract

A new numerical method to solve two-point boundary value problems for second order differential equations is proposed. This method is based on the singular value expansion of an integral formulation of the derivative operator. Here, we outline such an expansion and we propose a method to build new algebraic schemes able to solve boundary value problems.

Suggested Citation

  • Egidi, Nadaniela & Maponi, Pierluigi, 2021. "A spectral method for the solution of boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    • Handle: RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300320307657
    DOI: 10.1016/j.amc.2020.125812
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    References listed on IDEAS

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    1. Khaleghi, M. & Talebi Moghaddam, M. & Babolian, E. & Abbasbandy, S., 2018. "Solving a class of singular two-point boundary value problems using new effective reproducing kernel technique," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 264-273.
    2. Xie, Lie-jun & Zhou, Cai-lian & Xu, Song, 2018. "An effective computational method for solving linear multi-point boundary value problems," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 255-266.
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    Cited by:

    1. Egidi, Nadaniela & Giacomini, Josephin & Maponi, Pierluigi & Youssef, Michael, 2023. "An FFT method for the numerical differentiation," Applied Mathematics and Computation, Elsevier, vol. 445(C).

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