Skip to main content

Table 4 Numerical result of Example 5.3

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

t \(u_{E}\) \(u_{8,R}\) \(u_{11,R}\) n = 8, e(u) n = 11, e(u)
0.1 0.09048374180 0.09048374181 0.09048374181 3.568128916 × 10−12 3.592657686 × 10−12
0.3 0.2222454662 0.2222454658 0.2222454663 4.6785714 × 10−10 4.528351013 × 10−12
0.5 0.3032653298 0.3032652840 0.3032653298 4.58254531 × 10−8 5.85598678 × 10−11
0.7 0.3476097127 0.3476087846 0.3476097130 9.2816132 × 10−7 2.78563346 × 10−10
0.9 0.3659126937 0.3659039660 0.3659127002 8.72761061 × 10−6 6.64594981 × 10−9