Table 1: The comparison between the numerical results and DTM, HPM, HAM, and  RKHSM  solutions for .

DTM [5]HPM [5]HAM [5]RKHSM Numerical [5]

0.01.0000000001.00000000001.00000000001.00000000001.0000000000
0.10.97897711560.97917617780.97923570620.97923571710.9792357085
0.20.91825984460.91904249830.91926588420.919265850.9192658898
0.30.82436644660.82609397200.82653361020.826536350.8265336182
0.40.70657634760.70960369280.71022118380.71023153930.7102211890
0.50.57514986020.57983577410.58049947000.58048172010.5804994634
0.60.43971140860.44639003330.44693509410.44687969130.4469350697
0.70.30815609270.31708779380.31740845450.31740137270.3174084270
0.80.18622390950.19753664510.19764106610.19763210.1976410889
0.90.07843622010.091242145420.091230228790.09120300820.0912304211
1.00.00000000150.0000000007−0.000000478.052549207 × 10−80.0