Canonical Euler splitting method for parabolic partial functional differential algebraic equations
Canonical Euler splitting method for parabolic partial functional differential algebraic equations
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DOI：
10.1016/j.apnum.2023.04.010
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发表时间：
2023-04
影响因子：
2.8
通讯作者：
Hongliang Liu;Yiling You;Hao Li;Shoufu Li
中科院分区：
文献类型：
--
作者：
Hongliang Liu;Yiling You;Hao Li;Shoufu Li
A novel canonical Euler splitting method is presented for semilinear composite stiff parabolic partial functional differential algebraic equations with initial and Dirichlet boundary conditions. The original partial differential problems are transformed into the semi-discrete problems by spatial discretization, and then the canonical Euler splitting method is employed to solve the resulting semi-discrete problems. Under appropriate assumptions, the stability and convergence theories of this method are established. A series of numerical experiments are given to illustrate the effectiveness of this method and the correctness of theoretical results.Numerical results also demonstrate that the constructed method can significantly improve the calculation speed.
