Analytical and approximate solutions of (2+1)-dimensional time-fractional Burgers-Kadomtsev-Petviashvili equation
Mehmet Senol
Table 2. (Case 5.2) 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, σ = −0.5 and t = 0.1.
μ = 0.45μ = 0.55μ = 0.75
xRPSMExactAbs. ErrorRPSMExactAbs. ErrorRPSMExactAbs. Error
0.00.009 361 20.008 986 03.752 06E-40.009 428 70.009 389 33. 93727E-50.009 966 80.009 966 25.890 58E-7
0.10.009 358 70.008 990 83.678 53E-40.009 435 60.009 397 53.81430E-50.009 976 80.009 976 25.569 00E-7
0.20.009 356 10.008 995 83.602 89E-40.009 442 60.009 405 73.68946E-50.009 986 80.009 986 25.246 58E-7
0.30.009 353 30.009 000 83.525 22E-40.009 449 60.009 414 03.56291E-50.009 996 70.009 996 24.923 68E-7
0.40.009 350 30.009 005 83.445 62E-40.009 456 60.009 422 33.43478E-50.010 006 70.010 006 34.600 65E-7
0.50.009 347 30.009 010 93.364 17E-40.009 463 70.009 430 63.30521E-50.010 016 70.010 016 34.277 82E-7
0.60.009 344 10.009 016 03.280 97E-40.009 470 80.009 439 03.17437E-50.010 026 70.010 026 33.955 54E-7
0.70.009 340 80.009 021 23.196 12E-40.009 477 90.009 447 53.04238E-50.010 036 60.010 036 33.634 15E-7
0.80.009 337 40.009 026 43.109 72E-40.009 485 10.009 456 02.90941E-50.010 046 60.010 046 33.313 97E-7
0.90.009 333 90.009 031 73.021 85E-40.009 492 30.009 464 52.77559E-50.010 056 50.010 056 22.995 31E-7
1.00.009 330 30.009 037 02.932 61E-40.009 499 50.009 473 12.64106E-50.010 066 50.010 066 22.678 50E-7