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In Section 3, the full-discrete approximation for problem (1) is studied.
In this section, we consider the semi-discrete approximation for problem (1.1 - 1.3 1.1 - 1.3
In Section 3, we consider the full-discrete approximation for problem (2 -(4).
Throughout this paper, we denote L 2, L p, L ∞, H k norm in Ω simply by ∥ ⋅ ∥, ∥ ⋅ ∥ p, ∥ ⋅ ∥ ∞ and ∥ ⋅ ∥ H k. In this section, we consider the semi-discrete approximation for problem (2 -(4).
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Therefore, we have demonstrated that the present method provides an accurate approximation for problems with non-local conditions.
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In [16], Hao et al. gave a very nice approximation for this problem by using a non-local boundary value problem method.
Section 3 presents an approximation algorithm to obtain an ε-approximation solution for problem (P) which is FPTAS by its computational complexity.
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Finally, we show the obtained solutions are proper approximation for the problem under the Euclidean distance.
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