Solving Differential and Integral Equations with Tau Method



In this work we present a new approach for the implementation of operational Tau method for the solutions of linear differential and integral equations. In our approach we use the three terms relation of an orthogonal polynomial basis to compute the operational matrices. We also give numerical applications of operational matrices to solve differential and integral problems using the operational Tau method.


Operational Tau method Orthogonal polynomials Differential equations Integral equations 

Mathematics Subject Classification

80M22 45A05 


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • J. C. Matos
    • 1
  • J. M. A. Matos
    • 1
  • M. J. Rodrigues
    • 2
  1. 1.Instituto Superior de Engenharia do PortoPortoPortugal
  2. 2.Faculdade of Ciências da Universidade do PortoPortoPortugal

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