Research Article
Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method
Table 1
Evaluation of numerical errors for
.
| | | exact | | Error |
| 0.25 | 0.25 | −0.0253303 | −0.0253303 | | 0.5 | −0.0358224 | −0.0358224 | | 0.75 | −0.0253303 | −0.0253303 | | 0.95 | −0.00560387 | −0.00560387 | |
| 0.5 | 0.25 | −0.0358224 | −0.0358224 | | 0.5 | −0.0506606 | −0.0506604 | | 0.75 | −0.0358224 | −0.0358223 | | 0.95 | −0.00792506 | −0.00792506 | |
| 0.75 | 0.25 | −0.0253303 | −0.0253195 | | 0.5 | −0.0358224 | −0.0358072 | | 0.75 | −0.0253303 | −0.0253195 | | 0.95 | −0.00560387 | −0.00560148 | |
| 0.95 | 0.25 | −0.00560387 | −0.00546191 | 0.000141956 | 0.5 | −0.00792506 | −0.00772431 | 000200756 | 0.75 | −0.00560387 | −0.00546191 | 0.000141956 | 0.95 | −0.00123975 | −0.00120835 | |
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