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Table 2 Comparison of the collocation method with fourth-order Runge–Kutta method

From: Diffusion-thermo and thermal-diffusion effects with inclined magnetic field on unsteady MHD slip flow over a permeable vertical plate

\(D_{{\text{u}}}\) \(S_{{\text{t}}}\) \(E_{{\text{c}}}\) \(k_{1}\) \(R_{{\text{d}}}\) Collocation method \(4{\text{th}}\) order \(R\)-\(K\) \(\left| d \right|\)
0.3      5.10354 5.10354 0.00000
0.6      5.13080 5.13080 0.00000
  0.2     5.08704 5.08704 0.00000
  0.6     5.14038 5.14038 0.00000
   0.05    5.09275 5.09272 0.00003
   0.07    5.09561 5.09557 0.00004
    0.3   5.04433 5.04432 0.00001
    0.7   4.98716 4.98715 0.00001
     0.7 5.13774 5.13773 0.00001
     1.7 5.08322 5.08321 0.00001