Abstract
The Alternating Segment Crank-Nicolson scheme for one-dimensional diffusion equation has been developed in [1], and the Alternating Block Crank-Nicolson method for two-dimensional problem in [2]. The methods have the advantages of parallel computing, stability and good accuracy. In this paper for the two-dimensional diffusion equation, the net region is divided into bands, a special kind of block. This method is called the alternating Band Crank-Nicolson method.
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The work presented in this paper was supported by the National Science Foundation of China.
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Jing, C., Baolin, Z. Alternating band Crank-Nicolson method for\(\frac{{\partial {\text{u}}}}{{\partial {\text{t}}}} = \frac{{\partial ^2 {\text{u}}}}{{\partial {\text{x}}^{\text{2}} }} + \frac{{\partial ^2 {\text{u}}}}{{\partial {\text{y}}^{\text{2}} }}\) . Appl. Math. 8, 150–162 (1993). https://doi.org/10.1007/BF02661999
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DOI: https://doi.org/10.1007/BF02661999