Numerical solution of a periodic parabolic problem

Abstract

A direct-iterative method is developed for the numerical solution of the heat conduction equation having period T in time. Numerical results have shown that the method is better than the iterative method of Tee [1] for any T and the direct method of Osborne [2] for T≥ 10⁻³.

Keywords:

• Parabolic equation
• periodic conditions
• p-cyclic matrix
• SOR method
• direct iterative method

C.R. Categories:

• G.1.8

^∗Permanent Address: Shenyang Institute of Computing Technology, Chinese Academy of Sciences, Shenyang, China.

^∗Permanent Address: Shenyang Institute of Computing Technology, Chinese Academy of Sciences, Shenyang, China.

Notes

^∗Permanent Address: Shenyang Institute of Computing Technology, Chinese Academy of Sciences, Shenyang, China.