SeMA Journal

, Volume 74, Issue 2, pp 165–180 | Cite as

Sinc-Galerkin solution to the clamped plate eigenvalue problem

  • Mohamed El-Gamel
  • Adel Mohsen
  • Amgad Abdrabou


We propose an accurate and computationally efficient numerical technique for solving the biharmonic eigenvalue problem. The technique is based on the sinc-Galerkin approximation method to solve the clamped plate problem. Numerical experiments for plates with various aspect ratios are reported, and comparisons are made with other methods in literature. The calculated results accord well with those published earlier, which proves the accuracy and validity of the proposed method.


Sinc functions Sinc-Galerkin Biharmonic problem Eigenvalues 

Mathematics Subject Classification

65N25 31A30 



The authors would like to thank the anonymous reviewer for carefully reading this paper and for his many useful suggestions.


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Copyright information

© Sociedad Española de Matemática Aplicada 2016

Authors and Affiliations

  1. 1.Department of Mathematics and Engineering Physics, Faculty of EngineeringMansoura UniversityMansouraEgypt
  2. 2.Department of Engineering Mathematics and Physics, Faculty of EngineeringCairo UniversityGizaEgypt
  3. 3.Centre for Photonics and Smart MaterialsZewail City of Science and TechnologyGizaEgypt

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