Effect of Hyperbolic Interpolation in the Finite Element Solution of an Eigenvalue Problem

Authors

  • Humaira Farzana Department of Arts & Sciences, Ahsanullah University of science & Technology Dhaka
  • Md Obayedullah Department of Mathematics, Bangladesh University of Engineering and Technology Dhaka
  • MA Alim Department of Mathematics, Bangladesh University of Engineering and Technology Dhaka

DOI:

https://doi.org/10.3329/ganit.v30i0.8508

Keywords:

Eigenvalue problem, finite element method, Lagrange interpolation, hyperbolic interpolation

Abstract

In this paper hyperbolic interpolation has been used instead of Lagrange interpolation in solving an eigenvalue problem by using finite element method. The result shows that there is a good agreement between the eigenvalues obtained by using hyperbolic interpolation and the exact eigenvalues.

Keywords: Eigenvalue problem; finite element method; Lagrange interpolation; hyperbolic interpolation.

GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 30 (2010) 111-121 

DOI: http://dx.doi.org/10.3329/ganit.v30i0.8508

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How to Cite

Farzana, H., Obayedullah, M., & Alim, M. (2011). Effect of Hyperbolic Interpolation in the Finite Element Solution of an Eigenvalue Problem. GANIT: Journal of Bangladesh Mathematical Society, 30, 111–121. https://doi.org/10.3329/ganit.v30i0.8508

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