Analytical and approximate solutions of (2+1)-dimensional time-fractional Burgers-Kadomtsev-Petviashvili equation
Mehmet Senol
Table 1. (Case 5.1) RPSM approximate results and comparison with the exact solutions by absolute errors for a0 = 0.01, k = 0.1, w = 0.5, $\nu =0.01,$ λ = 0.9, l = 5, y = 1 and t = 0.1.
μ = 0.35μ = 0.50μ = 0.75
xRPSMExactAbs. ErrorRPSMExactAbs. ErrorRPSMExactAbs. Error
0.00.010 731 70.010 761 32.959 80E-50.010 490 10.010 490 65.70129E-70.010 402 70.010 402 73.465 43E-9
0.10.010 729 20.010 758 42.921 92E-50.010 488 90.010 489 45.63592E-70.010 401 90.010 401 93.427 19E-9
0.20.010 726 70.010 755 52.884 61E-50.010 487 70.010 488 25.57142E-70.010 401 10.010 401 13.389 45E-9
0.30.010 724 20.010 752 72.847 87E-50.010 486 50.010 487 15.50778E-70.010 400 30.010 400 33.352 19E-9
0.40.010 721 70.010 749 92.811 67E-50.010 485 30.010 485 95.44499E-70.010 399 50.010 399 53.315 41E-9
0.50.010 719 30.010 747 12.776 03E-50.010 484 20.010 484 75.38304E-70.010 398 70.010 398 73.279 10E-9
0.60.010 716 90.010 744 32.740 91E-50.010 483 00.010 483 55.32190E-70.010 397 90.010 397 93.243 25E-9
0.70.010 714 50.010 741 52.706 33E-50.010 481 80.010 482 45.26158E-70.010 397 10.010 397 13.207 86E-9
0.80.010 712 10.010 738 82.672 26E-50.010 480 70.010 481 25.20206E-70.010 396 30.010 396 33.172 92E-9
0.90.010 709 70.010 736 12.638 69E-50.010 479 50.010 480 05.14332E-70.010 395 50.010 395 53.138 42E-9
1.00.010 707 30.010 733 42.605 63E-50.010 478 40.010 478 95.08535E-70.010 394 80.010 394 83.104 36E-9