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Fig 1.

Stability region for the implicit Euler method and the 2-step BDF method for Example 5.1.

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Fig 1 Expand

Fig 2.

Numerical solutions using numerical methods with different time step sizes for Example 5.1.

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Fig 2 Expand

Fig 3.

Approximate solutions using the implicit Euler method with h = 0.01 for Example 5.1.

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Fig 3 Expand

Fig 4.

Approximate solutions using the 2-step BDF method with h = 0.01 for Example 5.1.

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Fig 4 Expand

Fig 5.

Stability region of the implicit Euler method and the 2-step BDF method for Example 5.2.

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Fig 5 Expand

Fig 6.

Convergence analysis of the implicit Euler method and the 2-step BDF method for Example 5.2.

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Fig 6 Expand

Table 1.

Approximate solutions by using the implicit Euler and the 2-step BDF method for Example 5.2.

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Table 1 Expand

Fig 7.

Numerical solutions using numerical methods with different time step sizes for Example 5.2.

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Fig 7 Expand