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Table 5 Numerical result of Example 5.4

From: Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays

t \(u_{E}\) \(u_{7,R}\) \(u_{11,R}\) n = 7, e(u) n = 11, e(u)
0.1 0.2003335 0.2003335 0.2003335 3.964923968 × 10−11 3.965475164 × 10−11
0.3 0.6090405873 0.6090405868 0.6090405869 5.1527572 × 10−10 4.067048190 × 10−10
0.5 1.042190611 1.042190600 1.042190611 1.0808188 × 10−8 1.914523041 × 10−11
0.7 1.517167403 1.517167180 1.517167403 2.2275522 × 10−7 6.429500776 × 10−10
0.9 2.053033451 2.053031300 2.053033451 2.1506409 × 10−6 3.3635213 × 10−10