Guo, G., Lü, S. (2017). High-accuracy alternating segment explicit-implicit method for the fourth-order heat equation. Bulletin of the Iranian Mathematical Society, 43(6), 1723-1737.

G. Guo; S. Lü. "High-accuracy alternating segment explicit-implicit method for the fourth-order heat equation". Bulletin of the Iranian Mathematical Society, 43, 6, 2017, 1723-1737.

Guo, G., Lü, S. (2017). 'High-accuracy alternating segment explicit-implicit method for the fourth-order heat equation', Bulletin of the Iranian Mathematical Society, 43(6), pp. 1723-1737.

Guo, G., Lü, S. High-accuracy alternating segment explicit-implicit method for the fourth-order heat equation. Bulletin of the Iranian Mathematical Society, 2017; 43(6): 1723-1737.

High-accuracy alternating segment explicit-implicit method for the fourth-order heat equation

^{1}School of Mathematics and Systems Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, PR China.

^{2}School of Mathematics and Systems Science, Beijing University of Aeronautics and Astronautics, Beijing 100191, China.

Receive Date: 22 May 2015,
Revise Date: 07 October 2016,
Accept Date: 09 October 2016

Abstract

Based on a group of new Saul’yev type asymmetric difference schemes constructed by author, a high-order, unconditionally stable and parallel alternating segment explicit-implicit method for the numerical solution of the fourth-order heat equation is derived in this paper. The truncation error is fourth-order in space, which is much more accurate than the known alternating segment explicit-implicit methods. Numerical simulations are performed to show the effectiveness of the present method that are in preference to the prior methods.

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