Document Type : Research Paper

**Authors**

^{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.

**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.

present method that are in preference to the prior methods.

**Keywords**

- Fourth-order heat equation
- alternating segment explicit-implicit method
- high accuracy
- parallel computation
- unconditional stability

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November 2017

Pages 1723-1737

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