Research Article
A Collocation Method Based on the Bernoulli Operational Matrix for Solving High-Order Linear Complex Differential Equations in a Rectangular Domain
Table 1
Numerical results of Example
13, for
.
| | Exact solution (real) | PM for | PM for | PM for |
| | 1.000000000000000 | 1.000000000000002 | 0.999999999999999 | 1.000000000000002 | | 1.099649666829409 | 1.099650127059032 | 1.099649681790901 | 1.099649666809790 | | 1.197056021355891 | 1.197058065414137 | 1.197056071303251 | 1.197056021305326 | | 1.289569374044936 | 1.289572683703872 | 1.289569451705194 | 1.289569373971185 | | 1.374061538887522 | 1.374064757066184 | 1.374061646628469 | 1.374061538795035 | | 1.446889036584169 | 1.446891795476775 | 1.446889179088898 | 1.446889036484456 | | 1.503859540558786 | 1.503862872087464 | 1.503859710928599 | 1.503859540462517 | | 1.540203025431780 | 1.540203451564549 | 1.540203240474244 | 1.540203025363573 | | 1.550549296807422 | 1.550520218427163 | 1.550549536105736 | 1.550549296761452 | | 1.528913811884699 | 1.528765905385641 | 1.528913283429636 | 1.528913812578978 | | 1.468693939915885 | 1.468204121679876 | 1.468688423751699 | 1.468693951050675 |
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