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Similarity solutions to an averaged model for superconducting vortex motion

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Figure

Figure 1 shows the results of three numerical calculations of the solution to (1.9)–(1.10).
Figure 1. (a) Evolution of magnetic fields, following an impulsive change of the boundary magneticand a final plot is made attconditions after that plots are at uniform intervals betweenuniform intervals betweenchange to the initially constant magnetic field
Figure 2. Comparison between numerical solution to (1.9)–(1.10) and the similarity solution (6.4)–(6.6)
Figure 3. A numerical simulation showing the evolution from a steady solution of the formH2 = ax + b, H3 = cx + d to which an impulsive change of the boundary field at t = 0 is made.The solution is plotted at equally spaced intervals between times t = 0.005
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