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中文摘要：
本文针对两点第三边值问题提出非均匀网格二阶有限体积格式的Richardson外推法，导出二阶有限体积格式截断误差的积分形式．通过构造有限体积格式的辅助方程，证明外推法按照离散L^2范数，H^1半范数，最大范数具有四阶精度．数值算例验证了理论分析的正确性，并说明了外推法的有效性．
英文摘要：
In this paper, Richardson extrapolation of second-order finite volume scheme on nonuniform mesh is presented for two point boundary value problem of third kind and the truncation errors with integral form are derived. By constructing auxiliary equations corresponding to the finite volume scheme, we .prove that the extrapolation is convergent with fourth order accuracy with respect to discrete L^2, norm, H1 semi-norm and maximum norm. A numerical example verifies the correctness of the theoretical analysis and also shows the effectiveness of the extrapolation.
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