Padé approximants

Dr Sameer A Matar's picture

Numerical Methods for Computing the Eigenvalues ‎of Linear Fourth-Order Boundary-Value Problems

Journal Title, Volume, Page: 
Journal of Computational and Applied Mathematics Volume 40, Issue 1, Pages 115–125
Year of Publication: 
1992
Authors: 
S.A. Matar
Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, United Kingdom UB8 3PH
Current Affiliation: 
Department of Mathematics, Faculty of Science, An-Najah National University, Nablus, Palestine
E.H. Twizell
Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, United Kingdom UB8 3PH
Preferred Abstract (Original): 

Novel finite-difference methods are developed for approximating the eigenvalues of three types of linear, fourth-order, two-point, boundary-value problems. The fourth-order differential equation is transformed into a system of first-order equations and the numerical methods are derived by replacing the matrix exponential function in a recurrence relation by Padé approximants. Numerical results are obtained for a number of problems from the literature.

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