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Journal of Applied Mathematics
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Journal of Applied Mathematics
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2014
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Article
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Tab 1
/
Research Article
Modified Finite Difference Schemes on Uniform Grids for Simulations of the Helmholtz Equation at Any Wave Number
Table 1
Analysis of the number of elements needed for a dispersion error of
.
ā
Second-order scheme
Fourth-order scheme
ā
(
,
) approx.
(
,
) approx.
10
(
,
)
(
,
)
10.00008889
(
,
)
(
,
)
100.0000970
(
,
)
(
,
)
1000.000099