Research Article

Solving Nonlinear Fractional PDEs with Applications to Physics and Engineering Using the Laplace Residual Power Series Method

Table 9

Comparison between of q-HATM [28] and LRPSM for equation (59) at .

Exact solutionLRPS solution LRPSM q-HATM [28]

0.001−250.004910950.004910971.6442 × 4.2203 × 
−200.011110100.011110101.3804 × 9.5909 × 
−150.023976200.023976206.2941 × 2.0907 × 
150.023983400.023983503.1500 × 2.7845 × 
250.004912630.004912621.6447 × 5.8658 × 

0.005−250.004907600.004907688.2159 × 2.1051 × 
−200.011102800.011102906.8985 × 4.7840 × 
−150.023961800.023961503.14505 × 1.0429 × 
150.023997900.023998203.15005 × 1.3898 × 
250.004915990.004915918.2293 × 2.9279 ×