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中文摘要：
近年来随着大型计算机硬件设备和软件技术迅速发展，求解对流扩散问题的算法越来越多．而TDMA算法在流体力学、油藏模拟、空气动力学等众多领域中有着广泛的应用．由于其理论解一般难以获得，只能用数值方法进行近似计算，
英文摘要：
The tri-diagonal matrix algorithm（TDMA） is usually adopted to solve the descretized equations of two or three dimensional convection-difusion equations by using finite volume method, which satisfied boundedness and transitivity. The convergence of TDMA to iteratively solve the discretized equations of twodimensional convection-diffusion problems is proved, and the sufficient condition of the convergence for the algorithm is obtained. In addition, numerical tests are presented to verify the effectivenes of the algorithm. The numerical results are compared with the Gauss-Seidel iterative algorithm.
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