A class of two-level explicit difference schemes for solving three dimensional heat conduction equation
Abstract A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)2), the stability condition is mesh ratio $$r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \fra...
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2000 |
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| Umfang: |
8 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Applied mathematics and mechanics - 1980, 21(2000) vom: Sept., Seite 1071-1078 |
| Übergeordnetes Werk: |
volume:21 ; year:2000 ; month:09 ; pages:1071-1078 ; extent:8 |
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| 520 | |a Abstract A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)2), the stability condition is mesh ratio $$r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \frac{{\Delta t}}{{(\Delta z)^2 }} \leqslant \frac{1}{2}$$ , which is better than that of all the other explicit difference schemes. And when the order of truncation error is 0((Δt)2+(Δx)4, the stability condition isr≤1/6, which contains the known results. | ||
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(DE-627)NLEJ192954687 DE-627 ger DE-627 rakwb eng A class of two-level explicit difference schemes for solving three dimensional heat conduction equation 2000 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)2), the stability condition is mesh ratio $$r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \frac{{\Delta t}}{{(\Delta z)^2 }} \leqslant \frac{1}{2}$$ , which is better than that of all the other explicit difference schemes. And when the order of truncation error is 0((Δt)2+(Δx)4, the stability condition isr≤1/6, which contains the known results. Springer Online Journal Archives 1860-2002 Wen-ping, Zeng oth in Applied mathematics and mechanics 1980 21(2000) vom: Sept., Seite 1071-1078 (DE-627)NLEJ188989714 (DE-600)2035105-7 1573-2754 nnns volume:21 year:2000 month:09 pages:1071-1078 extent:8 http://dx.doi.org/10.1007/BF02459318 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 21 2000 9 1071-1078 8 |
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(DE-627)NLEJ192954687 DE-627 ger DE-627 rakwb eng A class of two-level explicit difference schemes for solving three dimensional heat conduction equation 2000 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)2), the stability condition is mesh ratio $$r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \frac{{\Delta t}}{{(\Delta z)^2 }} \leqslant \frac{1}{2}$$ , which is better than that of all the other explicit difference schemes. And when the order of truncation error is 0((Δt)2+(Δx)4, the stability condition isr≤1/6, which contains the known results. Springer Online Journal Archives 1860-2002 Wen-ping, Zeng oth in Applied mathematics and mechanics 1980 21(2000) vom: Sept., Seite 1071-1078 (DE-627)NLEJ188989714 (DE-600)2035105-7 1573-2754 nnns volume:21 year:2000 month:09 pages:1071-1078 extent:8 http://dx.doi.org/10.1007/BF02459318 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 21 2000 9 1071-1078 8 |
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(DE-627)NLEJ192954687 DE-627 ger DE-627 rakwb eng A class of two-level explicit difference schemes for solving three dimensional heat conduction equation 2000 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)2), the stability condition is mesh ratio $$r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \frac{{\Delta t}}{{(\Delta z)^2 }} \leqslant \frac{1}{2}$$ , which is better than that of all the other explicit difference schemes. And when the order of truncation error is 0((Δt)2+(Δx)4, the stability condition isr≤1/6, which contains the known results. Springer Online Journal Archives 1860-2002 Wen-ping, Zeng oth in Applied mathematics and mechanics 1980 21(2000) vom: Sept., Seite 1071-1078 (DE-627)NLEJ188989714 (DE-600)2035105-7 1573-2754 nnns volume:21 year:2000 month:09 pages:1071-1078 extent:8 http://dx.doi.org/10.1007/BF02459318 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 21 2000 9 1071-1078 8 |
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(DE-627)NLEJ192954687 DE-627 ger DE-627 rakwb eng A class of two-level explicit difference schemes for solving three dimensional heat conduction equation 2000 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)2), the stability condition is mesh ratio $$r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \frac{{\Delta t}}{{(\Delta z)^2 }} \leqslant \frac{1}{2}$$ , which is better than that of all the other explicit difference schemes. And when the order of truncation error is 0((Δt)2+(Δx)4, the stability condition isr≤1/6, which contains the known results. Springer Online Journal Archives 1860-2002 Wen-ping, Zeng oth in Applied mathematics and mechanics 1980 21(2000) vom: Sept., Seite 1071-1078 (DE-627)NLEJ188989714 (DE-600)2035105-7 1573-2754 nnns volume:21 year:2000 month:09 pages:1071-1078 extent:8 http://dx.doi.org/10.1007/BF02459318 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 21 2000 9 1071-1078 8 |
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(DE-627)NLEJ192954687 DE-627 ger DE-627 rakwb eng A class of two-level explicit difference schemes for solving three dimensional heat conduction equation 2000 8 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)2), the stability condition is mesh ratio $$r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \frac{{\Delta t}}{{(\Delta z)^2 }} \leqslant \frac{1}{2}$$ , which is better than that of all the other explicit difference schemes. And when the order of truncation error is 0((Δt)2+(Δx)4, the stability condition isr≤1/6, which contains the known results. Springer Online Journal Archives 1860-2002 Wen-ping, Zeng oth in Applied mathematics and mechanics 1980 21(2000) vom: Sept., Seite 1071-1078 (DE-627)NLEJ188989714 (DE-600)2035105-7 1573-2754 nnns volume:21 year:2000 month:09 pages:1071-1078 extent:8 http://dx.doi.org/10.1007/BF02459318 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 21 2000 9 1071-1078 8 |
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A class of two-level explicit difference schemes for solving three dimensional heat conduction equation |
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Abstract A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)2), the stability condition is mesh ratio $$r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \frac{{\Delta t}}{{(\Delta z)^2 }} \leqslant \frac{1}{2}$$ , which is better than that of all the other explicit difference schemes. And when the order of truncation error is 0((Δt)2+(Δx)4, the stability condition isr≤1/6, which contains the known results. |
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Abstract A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)2), the stability condition is mesh ratio $$r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \frac{{\Delta t}}{{(\Delta z)^2 }} \leqslant \frac{1}{2}$$ , which is better than that of all the other explicit difference schemes. And when the order of truncation error is 0((Δt)2+(Δx)4, the stability condition isr≤1/6, which contains the known results. |
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Abstract A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation. When the order of trucation error is 0(Δt+(Δx)2), the stability condition is mesh ratio $$r = \frac{{\Delta t}}{{(\Delta x)^2 }} = \frac{{\Delta t}}{{(\Delta y)^2 }} = \frac{{\Delta t}}{{(\Delta z)^2 }} \leqslant \frac{1}{2}$$ , which is better than that of all the other explicit difference schemes. And when the order of truncation error is 0((Δt)2+(Δx)4, the stability condition isr≤1/6, which contains the known results. |
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