Research Article
Method of Particular Solutions for Second-Order Differential Equation with Variable Coefficients via Orthogonal Polynomials
Table 1
Errors of
and orders of convergence for Example
7.
| | | | | | Order |
| | 2 | 2.6781e-01 | 1.6331e-00 | 1.3512e-00 | 4.3813e-00 | / | | 4 | 2.6248e-02 | 3.6964e-01 | 1.3282e-01 | 7.1212e-01 | 2.6620 | | 8 | 9.9027e-05 | 3.9703e-03 | 4.8942e-04 | 5.9872e-03 | 6.9139 | | 16 | 1.1428e-10 | 2.0526e-08 | 5.5757e-10 | 2.9599e-08 | 17.6304 | | 32 | 9.9920e-16 | 7.9936e-15 | 3.5289e-15 | 1.4668e-14 | 20.9041 | | 64 | 6.6613e-16 | 5.5511e-15 | 2.2505e-15 | 6.9826e-15 | 1.0401 |
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