Table 4 Absolute error between the obtained results and the exact solution at \(\wp =\varpi =0.5\) and \(\tau =0.005\).

0.25            

1.05894            

1.15426      

1.15428            

9.534\(\times 10^{-5}\)            

2\(\times 10^{-2}\)

0.50

1.19483

1.31250

1.31252

1.1769\(\times 10^{-2}\)

2\(\times 10^{-5}\)

0.75

1.28624

1.41894

1.41897

1.3273\(\times 10^{-2}\)

3\(\times 10^{-5}\)

1.0

1.32748

1.46696

1.4670

1.3952\(\times 10^{-2}\)

4\(\times 10^{-5}\)

1.25

1.31599

1.45359

1.45362

1.3763\(\times 10^{-2}\)

3\(\times 10^{-5}\)

1.50

1.25249

1.37965

1.37968

1.2719\(\times 10^{-2}\)

3\(\times 10^{-5}\)

1.75

1.14093

1.24973

1.24976

1.0883\(\times 10^{-2}\)

3\(\times 10^{-5}\)

2.0

0.988237

1.07192

1.07194

8.3703\(\times 10^{-2}\)

2\(\times 10^{-5}\)