Research Article
Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations
Table 2
The absolute error for different values of
.
| t | Exact. Sol | App. Sol | Abs. Err |
| For | 0.0 | 1.0000000000 | 1.0000000000 | 0 | 0.1 | 1.1051709181 | 1.1051873941 | | 0.2 | 1.2214027582 | 1.2214234795 | | 0.3 | 1.3498588076 | 1.3498811112 | | 0.4 | 1.4918246976 | 1.4918490746 | | 0.5 | 1.6487212707 | 1.6487484081 | | 0.6 | 1.8221188004 | 1.8221489350 | | 0.7 | 2.0137527075 | 2.0137858850 | | 0.8 | 2.2255409285 | 2.2255774493 | | 0.9 | 2.4596031112 | 2.4596436807 | | 1.0 | 2.7182818285 | 2.7183270070 | |
| For | 0.0 | 1.0000000000 | 1.0000000000 | 0 | 0.1 | 1.1051709181 | 1.1051709163 | | 0.2 | 1.2214027582 | 1.2214027562 | | 0.3 | 1.3498588076 | 1.3498588054 | | 0.4 | 1.4918246976 | 1.4918246952 | | 0.5 | 1.6487212707 | 1.6487212680 | | 0.6 | 1.8221188004 | 1.8221187975 | | 0.7 | 2.0137527075 | 2.0137527042 | | 0.8 | 2.2255409285 | 2.2255409249 | | 0.9 | 2.4596031112 | 2.4596031072 | | 1.0 | 2.7182818285 | 2.7182818240 | |
| For | 0.0 | 1.0000000000 | 1.0000000000 | 0 | 0.1 | 1.1051709181 | 2.7182818285 | | 0.2 | 1.2214027582 | 1.1051709181 | | 0.3 | 1.3498588076 | 1.3498588076 | | 0.4 | 1.4918246976 | 1.4918246976 | | 0.5 | 1.6487212707 | 1.6487212707 | | 0.6 | 1.8221188004 | 1.8221188004 | | 0.7 | 2.0137527075 | 2.0137527075 | | 0.8 | 2.2255409285 | 2.2255409285 | | 0.9 | 2.4596031112 | 2.4596031112 | | 1.0 | 2.7182818285 | 2.7182818285 | |
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