Fig. 4
In this figure, we take ϵ=0.05 and ω=40.0. The upper curve represents the exact conical solution for θ(t) and the horizontal solid line is the corresponding WSK conical solution ac=2.4. Using the algorithm in section 3, the initial conditions required to produce this exact solution are a0≡A0=2.3650,a1≡A1=0.0,b2≡b2c=1.4142 giving μ=0.1041. For the lower curve ac=π2,A0=1.5209,A1=0.0, b2c=2.0 so that μ=1.0.

In this figure, we take ϵ=0.05 and ω=40.0. The upper curve represents the exact conical solution for θ(t) and the horizontal solid line is the corresponding WSK conical solution ac=2.4. Using the algorithm in section 3, the initial conditions required to produce this exact solution are a0A0=2.3650,a1A1=0.0,b2b2c=1.4142 giving μ=0.1041. For the lower curve ac=π2,A0=1.5209,A1=0.0,b2c=2.0 so that μ=1.0.

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