Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional fourth-order diffusion equation

作者：Guo, Geyang^*; Lu, Shujuan

来源：Computers & Mathematics with Applications, 2016, 71(10): 1944-1959.

DOI：10.1016/j.camwa.2016.03.004

• Two-dimensional fourth-order diffusion equation
• Intrinsic parallelism
• Alternating difference schemes
• Unconditional stability

In this paper, the parallel difference schemes for parabolic equation are studied. The general alternating difference schemes with intrinsic parallelism for two-dimensional fourth-order diffusion equation are presented and proved to be unconditionally stable by the energy method. Two kinds of alternating band explicit (ABE1, ABE2) schemes, alternating band explicit-implicit (ABE-I) scheme and alternating band Crank-Nicolson (ABC-N) scheme are the special cases of the general schemes constructed here. Numerical experiments are performed to examine the accuracy and unconditional stability.

• 出版日期2016-5
• 单位天津职业技术师范大学; 北京航空航天大学