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Computational Modelling Based on RIBEM Method for the Numerical Solution of Convection-Diffusion Equations

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Integral Methods in Science and Engineering (IMSE 2022)

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Abstract

A new robust transformation technique, called the radial integration method (RIM), was developed by Gao (Eng Anal Boundary Elem 26:905–916, 2002) which not only can transform any complicated domain integral to the boundary without using particular solutions, but can also remove various singularities appearing in the domain integrals.

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Author information

Authors and Affiliations

  1. Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Baghdad, Iraq

    S. A. Al-Bayati

  2. Department of Civil and Environmental Engineering, Pontifical Catholic University of Rio de Janeiro (PUC-Rio), Rio de Janeiro, Brazil

    L. C. Wrobel

Authors
  1. S. A. Al-Bayati
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  2. L. C. Wrobel
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Corresponding author

Correspondence to S. A. Al-Bayati .

Editor information

Editors and Affiliations

  1. Department of Mathematics, The University of Tulsa, Tulsa, OK, USA

    Christian Constanda

  2. Department of Mechanical Engineering, Federal University of Rio Grande do Sul, Porto Alegre, Rio Grande do Sul, Brazil

    Bardo E.J. Bodmann

  3. School of Architecture, Technology and Engineering, University of Brighton, Brighton, UK

    Paul J. Harris

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Al-Bayati, S.A., Wrobel, L.C. (2023). Computational Modelling Based on RIBEM Method for the Numerical Solution of Convection-Diffusion Equations. In: Constanda, C., Bodmann, B.E., Harris, P.J. (eds) Integral Methods in Science and Engineering. IMSE 2022. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-34099-4_1

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