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Theory and Modern Applications

Table 7 Numerical result of Example 5.6

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

t

\(u_{E}\)

\(u_{7,R}\)

\(u_{10,R}\)

n = 7, e(u)

n = 10, e(u)

0

1

1

1

0

0

0.2

1.221402758

1.221402759

1.221402759

9.5908440 × 10−11

1.608396569 × 10−10

0.4

1.491824698

1.491824681

1.491824698

1.73614159 × 10−8

3.561531174 × 10−10

0.6

1.822118800

1.822118354

1.822118801

4.45704276 × 10−7

3.04866784 × 10−10

0.8

2.225540928

2.225536366

2.225540927

4.56226537 × 10−6

1.79197330 × 10−9