Abstract
A family of high-order accuracy explict difference schemes for solving 3-dimension parabolic P. D. E. is constructed. The stability condition is r=Δt/Δx2=Δt/Δy2=Δt/Δz2<1/2, and the truncation error is 0(Δt2+Δx4).
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References
ZENG Wen-ping. A new high-order accuracy explicit difference scheme for solving three-dimensional parabolic equations[J].Technological Mathematics, 1992,18(4):20–25. (in Chinese)
MA Ming-shu. A New high-order accuracy explicit difference scheme for solving three-dimensional parabolic equations[J].Applied Mathematics and Mechanics (English Ed), 1998,19(5):497–501.
JIN Cheng-ri. High-order explicit difference scheme for solving parabolic equations[J].Mathematica Numerica Sinica, 1991,13(1):38–44. (in Chinese)
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Communicated by Znang Hong-qing
Biography: Ma Ming-shu (1941∼)
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Ming-shu, M., Tong-ke, W. A family of high-order accuracy explicit difference schemes with branching stability for solving 3-D parabolic partial differential equation. Appl Math Mech 21, 1207–1212 (2000). https://doi.org/10.1007/BF02459000
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DOI: https://doi.org/10.1007/BF02459000