Research Article

Convergence Analysis of Implicit Euler Method for a Class of Nonlinear Impulsive Fractional Differential Equations

Table 1

Error and convergence order of numerical method (7) with different .

N = 40N = 80N = 160N = 320N = 640

 = 1.14.197e − 22.108e − 21.047e − 25.112e − 32.425e − 3
0.9931.0101.0331.076
 = 1.34.849e − 22.430e − 21.205e − 25.881e − 32.789e − 3
0.9971.0121.0341.076
 = 1.56.299e − 23.157e − 21.566e − 27.644e − 33.625e − 3
0.9971.0121.0341.076
 = 1.78.186e − 24.096e − 22.029e − 29.901e − 34.694e − 3
0.9991.0131.0351.077
 = 1.98.612e − 24.283e − 22.115e − 21.031e − 24.882e − 3
1.0081.0181.0371.078