Differential Equations Solutions 178

Differential Equations Solutions 178 - j Mesh1 Mesh 2 Mesh...

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188 Chapter 31. Solutions: Case Study: Eigenvalues: Valuable Principles Figure 31.1. Eigenfunctions corresponding to the eigenvalues λ = 4 . 9348 , 12 . 3370 , 12 . 3370 (top row) and λ =19 . 7392 , 24 . 6740 , 24 . 6740 (bottom row). number of triangles, which is approximately proportional to 1 /h 2 . The errors in the approximate eigenvalues are as follows:
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Unformatted text preview: j Mesh1 Mesh 2 Mesh 3 Mesh 4 j = 1 5.03e-02 1.27e-02 3.20e-03 8.02e-04 j = 6 1.29e+00 3.25e-01 8.15e-02 2.04e-02 j = 11 4.17e+00 1.04e+00 2.60e-01 6.50e-02 j = 16 8.54e+00 2.12e+00 5.28e-01 1.32e-01 j = 21 1.49e+01 3.67e+00 9.15e-01 2.29e-01...
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This note was uploaded on 01/21/2012 for the course MAP 3302 taught by Professor Dr.robin during the Fall '11 term at University of Florida.

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