%0 Journal Article
%T The Splitting Crank¨CNicolson Scheme with Intrinsic Parallelism for Solving Parabolic Equations
%A Feng
%A Hui
%A Gong
%A Yunjie
%A Xue
%A Guanyu
%J -
%D 2020
%R https://doi.org/10.1155/2020/8571625
%X In this paper, a splitting Crank¨CNicolson (SC-N) scheme with intrinsic parallelism is proposed for parabolic equations. The new algorithm splits the Crank¨CNicolson scheme into two domain decomposition methods, each one is applied to compute the values at (n£¿+£¿1)th time level by use of known numerical solutions at n-th time level, respectively. Then, the average of the above two values is chosen to be the numerical solutions at (n£¿+£¿1)th time level. The new algorithm obtains accuracy of the Crank¨CNicolson scheme while maintaining parallelism and unconditional stability. This algorithm can be extended to solve two-dimensional parabolic equations by alternating direction implicit (ADI) technique. Numerical experiments illustrate the accuracy and efficiency of the new algorithm
%U https://www.hindawi.com/journals/jfs/2020/8571625/