Research Article
A Collocation Method Based on the Bernoulli Operational Matrix for Solving High-Order Linear Complex Differential Equations in a Rectangular Domain
Table 2
Numerical results of Example
13, for
.
| | Exact solution (Im) | PM for | PM for | PM for |
| | 0 | 0.000000000000000 | ā0.000000000000001 | 0.000000000000000 | | 0.110332988730204 | 0.110330942667805 | 0.110332993217700 | 0.110332988786893 | | 0.242655268594923 | 0.242645839814175 | 0.242655282953655 | 0.242655268747208 | | 0.398910553778490 | 0.398893389645474 | 0.398910574081883 | 0.398910554017485 | | 0.580943900770567 | 0.580922057122650 | 0.580943925558894 | 0.580943901105221 | | 0.790439083213615 | 0.790412124917929 | 0.790439110267023 | 0.790439083643388 | | 1.028845666272092 | 1.028807744371502 | 1.028845687924972 | 1.028845666809275 | | 1.297295111875269 | 1.297248986448220 | 1.297295129424920 | 1.297295112510736 | | 1.596505340600251 | 1.596503892694281 | 1.596505330955563 | 1.596505341401562 | | 1.926673303972717 | 1.926900526193919 | 1.926672856270450 | 1.926673303646987 | | 2.287355287178843 | 2.288259022526098 | 2.287352245460983 | 2.287355267120311 |
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