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We construct the third and fourth orders of accuracy stable difference schemes for problem (1.2).
In Section 3, we construct the third and fourth order difference schemes for problem (1.2) and establish their well-posedness.
For this matter, first we get two ground states in view of the Nehari procedure, establish a linking structure by the abstract linking theorem on the product space, and then construct the third critical value by the classical minimax principle.
From this construct, the third proposition of the model is derived.
On the basis of this model, we construct the third layer as x ˙ 1 = 2 x 4 − 2 x 1 1.01 x 2, x ˙ 2 = 2 x 5 − x 1 0.5 x 2 0.5, x ˙ 3 = 2 x 1 0.5 x 2 0.5 − 2 x 3 Now select the independent variable x4 be the control variable, other independent variable be a constant and x1, x2, x3 be the state variables.
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