Abstract
In this paper, an explicit three-level symmetrical differencing scheme with parameters for solving parabolic partial differential equation of three-dimension will be considered. The stability condition and local truncation error for the scheme are τ < 1/2 andO(Δt 2 + Δx 4 + Δy 4 + Δz 4), respectively.
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Communicated by Bian Yinggui
Foundation item: the Natural Science Foundation of Province Liaoning Education Committee
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Honglie, S. The high accuracy explicit difference scheme for solving parabolic equations 3-dimension. Appl Math Mech 20, 789–794 (1999). https://doi.org/10.1007/BF02454901
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DOI: https://doi.org/10.1007/BF02454901
Key words
- parabolic partial differential equation of three-dimension
- implicit difference scheme
- explicit difference scheme
- local truncation error
- absolutely stable
- condition stable