A variational difference scheme for the one-dimensional diffusion equation
Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}...
Ausführliche Beschreibung
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| Autor*in: |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
1975 |
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| Umfang: |
4 |
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| Reproduktion: |
Springer Online Journal Archives 1860-2002 |
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| Übergeordnetes Werk: |
in: Mathematical notes - 1967, 17(1975) vom: Juni, Seite 537-540 |
| Übergeordnetes Werk: |
volume:17 ; year:1975 ; month:06 ; pages:537-540 ; extent:4 |
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| 520 | |a Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0< x< X$$ subject to the boundary conditions (2) $$u(0) = a,u(X) = b$$ . | ||
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(DE-627)NLEJ191293067 DE-627 ger DE-627 rakwb eng A variational difference scheme for the one-dimensional diffusion equation 1975 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0< x< X$$ subject to the boundary conditions (2) $$u(0) = a,u(X) = b$$ . Springer Online Journal Archives 1860-2002 Fedorova, O. A. oth in Mathematical notes 1967 17(1975) vom: Juni, Seite 537-540 (DE-627)NLEJ188983562 (DE-600)2037663-7 1573-8876 nnns volume:17 year:1975 month:06 pages:537-540 extent:4 http://dx.doi.org/10.1007/BF01442699 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 17 1975 6 537-540 4 |
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(DE-627)NLEJ191293067 DE-627 ger DE-627 rakwb eng A variational difference scheme for the one-dimensional diffusion equation 1975 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0< x< X$$ subject to the boundary conditions (2) $$u(0) = a,u(X) = b$$ . Springer Online Journal Archives 1860-2002 Fedorova, O. A. oth in Mathematical notes 1967 17(1975) vom: Juni, Seite 537-540 (DE-627)NLEJ188983562 (DE-600)2037663-7 1573-8876 nnns volume:17 year:1975 month:06 pages:537-540 extent:4 http://dx.doi.org/10.1007/BF01442699 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 17 1975 6 537-540 4 |
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(DE-627)NLEJ191293067 DE-627 ger DE-627 rakwb eng A variational difference scheme for the one-dimensional diffusion equation 1975 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0< x< X$$ subject to the boundary conditions (2) $$u(0) = a,u(X) = b$$ . Springer Online Journal Archives 1860-2002 Fedorova, O. A. oth in Mathematical notes 1967 17(1975) vom: Juni, Seite 537-540 (DE-627)NLEJ188983562 (DE-600)2037663-7 1573-8876 nnns volume:17 year:1975 month:06 pages:537-540 extent:4 http://dx.doi.org/10.1007/BF01442699 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 17 1975 6 537-540 4 |
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(DE-627)NLEJ191293067 DE-627 ger DE-627 rakwb eng A variational difference scheme for the one-dimensional diffusion equation 1975 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0< x< X$$ subject to the boundary conditions (2) $$u(0) = a,u(X) = b$$ . Springer Online Journal Archives 1860-2002 Fedorova, O. A. oth in Mathematical notes 1967 17(1975) vom: Juni, Seite 537-540 (DE-627)NLEJ188983562 (DE-600)2037663-7 1573-8876 nnns volume:17 year:1975 month:06 pages:537-540 extent:4 http://dx.doi.org/10.1007/BF01442699 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 17 1975 6 537-540 4 |
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(DE-627)NLEJ191293067 DE-627 ger DE-627 rakwb eng A variational difference scheme for the one-dimensional diffusion equation 1975 4 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0< x< X$$ subject to the boundary conditions (2) $$u(0) = a,u(X) = b$$ . Springer Online Journal Archives 1860-2002 Fedorova, O. A. oth in Mathematical notes 1967 17(1975) vom: Juni, Seite 537-540 (DE-627)NLEJ188983562 (DE-600)2037663-7 1573-8876 nnns volume:17 year:1975 month:06 pages:537-540 extent:4 http://dx.doi.org/10.1007/BF01442699 GBV_USEFLAG_U ZDB-1-SOJ GBV_NL_ARTICLE AR 17 1975 6 537-540 4 |
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A variational difference scheme for the one-dimensional diffusion equation |
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Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0< x< X$$ subject to the boundary conditions (2) $$u(0) = a,u(X) = b$$ . |
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Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0< x< X$$ subject to the boundary conditions (2) $$u(0) = a,u(X) = b$$ . |
| abstract_unstemmed |
Abstract In this paper we construct a homogeneous variational difference scheme for the diffusion equation assuming its coefficients to be bounded and measurable; the order of convergence of the scheme is O(h2). We consider the boundary value problem (1) $$\frac{d}{{dx}}\left( {K(x)\frac{{du}}{{dx}}} \right) - g(x)u = - \frac{{dF}}{{dx}},0< x< X$$ subject to the boundary conditions (2) $$u(0) = a,u(X) = b$$ . |
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