Research Article
Alternative Legendre Polynomials Method for Nonlinear Fractional Integro-Differential Equations with Weakly Singular Kernel
Table 1
The absolute errors with different
for Example
1.
| | | | | | (see [23]) |
| | 0 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 | | 0.125 | 2.82184e-03 | 1.28015e-03 | 6.59465e-04 | 3.98172e-04 | 1.59756e-03 | | 0.25 | 1.27453e-03 | 5.94191e-04 | 4.86154e-04 | 4.02646e-04 | 5.69812e-04 | | 0.375 | 1.10784e-03 | 8.65911e-04 | 6.26588e-04 | 3.89888e-04 | 6.53198e-04 | | 0.5 | 1.80480e-03 | 1.09916e-03 | 5.90305e-04 | 3.92223e-04 | 8.56779e-04 | | 0.625 | 2.46826e-03 | 1.12048e-03 | 7.02201e-04 | 5.51706e-04 | 8.88166e-04 | | 0.75 | 2.88819e-03 | 1.45003e-03 | 1.07896e-03 | 7.13425e-04 | 1.42594e-03 | | 0.875 | 3.92612e-03 | 2.48974e-03 | 1.50493e-03 | 1.05219e-03 | 1.81991e-03 | | 1 | 7.69399e-03 | 3.50573e-03 | 2.68452e-03 | 1.64642e-03 | 3.30803e-03 |
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