A finite element based collocation method for eigenvalue calculations |
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| Institution: | 1. Department of Arts & Sciences, Ahsanullah University of Sciences & Technology, Dhaka 1215, Bangladesh;2. Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh;3. Department of Applied Mathematics, University of Dhaka, Dhaka 1000, Bangladesh |
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| Abstract: | The Method of Weighted Residuals (MWR) is a powerful tool in solving boundary value problems. A particular MWR is the “collocation method”. The main theme of this paper is eigenvalue calculations with the collocation method. The bench mark problems considered are second and fourth order differential operators in one dimension and a Helmholtz eigenvalue problem in two dimensions. |
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