Controlled Roof Collapse during Secondary Mining in Coal Mines

Figure 8

Comparison of the asymptotic expansion (5.1) correct to order 𝐵² (- - -) with the exact solution (4.3) (—) of the deflection 𝑤(𝑥) for 𝐵=0.1,0.25,0.5,0.9. The curves for the exact solution and asymptotic solution overlap.