Abstract
In this paper, a new three-level explicit difference scheme with high-order accuracy is proposed for solving three-dimensional parabolic equations. The stability condition is r=Δt/Δx2=Δt/Δy2=Δt/Δx2<-1/4, and the truncation error is O(Δt2+Δx4).
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References
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Communicated by Zhang Hongqing
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Mingshu, M. A new high-order accuracy explict difference scheme for solving three-dimensional parabolic equations. Appl Math Mech 19, 497–501 (1998). https://doi.org/10.1007/BF02457792
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DOI: https://doi.org/10.1007/BF02457792