Research Article
A New Approach for Linear Eigenvalue Problems and Nonlinear Euler Buckling Problem
Table 3
Comparison of the first eigenvalue and solutions of Example
3.1 using TDM and Table 4 from [
9], when
,
, and
.
| | HWSM | FDM | TDM |
| 0 | 0 | 0 | 0 | 0.0625 | 0.27521 | 0.27756 | 0.277563 | 0.125 | 0.54181 | 0.54434 | 0.544337 | 0.1875 | 0.78949 | 0.78996 | 0.789953 | 0.25 | 1.00485 | 1.00488 | 1.00487 | 0.3125 | 1.18153 | 1.18075 | 1.18074 | 0.375 | 1.31286 | 1.31082 | 1.31076 | 0.4375 | 1.39372 | 1.38996 | 1.38994 | 0.5 | 1.42102 | 1.41527 | 1.41529 | 0.5625 | 1.39371 | 1.38591 | 1.38598 | 0.625 | 1.31285 | 1.30323 | 1.30334 | 0.6875 | 1.18154 | 1.18066 | 1.17081 | 0.75 | 1.0048 | 0.99361 | 0.993792 | 0.8125 | 0.77949 | 0.77917 | 0.779357 | 0.875 | 0.53481 | 0.53577 | 0.535934 | 0.9375 | 0.27726 | 0.27277 | 0.272878 | 1 | 0 | 0 | 0 |
|
|
(HWSM), 9.95067 (FDM), 9.98317 (TDM).
|