Research Article
A Fitted Mesh Cubic Spline in Tension Method for Singularly Perturbed Problems with Two Parameters
Table 2
Comparison of the maximum pointwise error and rate of convergence for Example
2 for
and different values of
.
| | | | | | | | | | | |
| Current method | | 3.7393 e − 03 | 1.0548 e − 03 | 2.8089 e − 04 | 7.2507 e − 05 | 1.8422 e − 05 | 1.8258 | 1.9089 | 1.9538 | 1.9767 | | | 3.9293 e − 03 | 1.1111 e − 03 | 2.9595 e − 04 | 7.6404 e − 05 | 1.9412 e − 05 | 1.8223 | 1.9086 | 1.9536 | 1.9767 | | | 3.9337 e − 03 | 1.1117 e − 03 | 2.9609 e − 04 | 7.6436 e − 05 | 1.9423 e − 05 | 1.8231 | 1.9087 | 1.9537 | 1.9765 | | | 3.9337 e − 03 | 1.1117 e − 03 | 2.9608 e − 04 | 7.6439 e − 05 | 1.9423 e − 05 | 1.8231 | 1.9087 | 1.9536 | 1.9765 | | | 3.9337 e − 03 | 1.1117 e − 03 | 2.9608 e − 04 | 7.6439 e − 05 | 1.9423 e − 05 | 1.8231 | 1.9088 | 1.9536 | 1.9765 | | | 3.9337 e − 03 | 1.1117 e − 03 | 2.9608 e − 04 | 7.6439 e − 05 | 1.9423 e − 05 | 1.8231 | 1.9088 | 1.9536 | 1.9765 | | Method in [28] | | 3.6825 e − 02 | 1.8188 e − 02 | 8.5040 e − 03 | 4.2227 e − 03 | 2.1179 e − 03 | 1.018 | 1.097 | 1.010 | 0.995 | | | 3.9442 e − 02 | 1.9359 e − 02 | 9.5692 e − 03 | 4.7539 e − 03 | 2.3691 e − 03 | 1.027 | 1.016 | 1.009 | 1.005 | | | 3.9402 e − 02 | 1.9391 e − 02 | 9.5773 e − 03 | 4.7594 e − 03 | 2.3717 e − 03 | 1.023 | 1.018 | 1.009 | 1.005 | | | 3.9418 e − 02 | 1.9392 e − 02 | 9.5791 e − 03 | 4.7594 e − 03 | 2.3718 e − 03 | 1.023 | 1.017 | 1.009 | 1.005 | | | 3.9418 e − 02 | 1.9392 e − 02 | 9.5791 e − 03 | 4.7594 e − 03 | 2.3718 e − 03 | 1.023 | 1.017 | 1.009 | 1.005 | | | 3.9418 e − 02 | 1.9392 e − 02 | 9.5791 e − 03 | 4.7594 e − 03 | 2.3718 e − 03 | 1.023 | 1.017 | 1.009 | 1.005 | |
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