Table 3 Absolute error between the obtained results and the exact solution at \(\wp =\varpi =0.5\) and \(\tau =0.001\).

0.25            

0.0375249            

0.0554498      

0.0554615            

1.79366\(\times 10^{-2}\)            

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

0.50

0.0727167

0.107452

0.107475

3.47581\(\times 10^{-2}\)

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

0.75

0.103387

0.152773

0.152806

4.9419\(\times 10^{-2}\)

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

1.0

0.12763

0.188596

0.188636

6.1006\(\times 10^{-2}\)

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

1.25

0.143937

0.212693

0.212738

6.8801\(\times 10^{-2}\)

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

1.50

0.151295

0.223565

0.223612

7.2317\(\times 10^{-2}\)

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

1.75

0.149246

0.220537

0.220584

7.1338\(\times 10^{-2}\)

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

2.0

0.137917

0.203798

0.203841

6.5924\(\times 10^{-2}\)

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