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Table 2 Numerical result of Example 5.1

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

t \(u_{E}\) \(u_{10,R}\) \(u_{12,R}\) n = 10, e(u) n = 12, e(u)
0.1 0.9048374181 0.9048374181 0.9048374181 3.592657686 × 10−11 3.592657661 × 10−12
0.3 0.7408182206 0.7408182206 0.7408182206 1.923883628 × 10−11 1.928210586 × 10−11
0.5 0.6065306598 0.6065306598 0.6065306598 1.80099255 × 10−11 6.287137150 × 10−12
0.7 0.4965853044 0.4965853039 0.4965853044 4.49700608 × 10−10 1.676531197 × 10−11
0.9 0.4065696671 0.4065696598 0.4065696671 7.35104179 × 10−9 7.90460030 × 10−11