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A new parallel algorithm for solving parabolic equations
DOI:10.1186/s13662-018-1617-8.png)
摘要
En 中文
In this paper, a new parallel algorithm for solving parabolic equations is proposed. The new algorithm includes two domain decomposition methods, each method is applied to compute the values at (n + 1)st time level by use of known numerical solutions at nth time level, respectively. Then the average of two above values is chosen to be the numerical solutions at (n + 1)st time level. The new algorithm obtains satisfactory accuracy while maintaining parallelism and unconditional stability. This algorithm can be extended to solve two-dimensional parabolic equations by alternating direction implicit (ADI) technique. Both error analysis and numerical experiments illustrate the accuracy and efficiency of the new algorithm.
Keyword:
Parabolic equations
Finite difference
Unconditional stability
Parallelism
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