Numerical solutions for the one-dimensional heat-conduction equation using a spreadsheet

Computers and Geosciences

Volumn 22, Issue 10, 1996, Pages 1147-1158

  Gvirtzman, Zohar ^a   Garfunkel, Zvi ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

Basin analysis; Crank Nicholson; Explicit; Finite difference methods; Heat conduction; Spreadsheet; Thermal modeling

Indexed keywords

FINITE DIFFERENCE METHOD; HEAT FLOW; SPREADSHEET; THERMAL CONDUCTIVITY;

EID: 0030391145     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-3004(96)00052-0     Document Type: Article

References (12)

1. Beaumont, C., Keen, C. E., and Boutillier, R., 1982, On the evolution of rifted continental margins: comparison of models and observations for Nova Scotia margin: Geophys. Jour. Roy. Astronomical Soc., v. 70, no. 3, p. 667-715.
2. Carslaw, H., and Jaeger, J. C. 1959, Conduction of heat in solids: Oxford Univ. Press, New York, 518 p.
3. Cheny, W., and Kincaid, D., 1980, Numerical mathematics and computing: Brooks/Cole, Monterey, California, 362 p.
4. Day, H. W., 1987, Controls on the apparent thermal and baric structure of mountain belts: Jour. Geology, v. 95, p. 807-824.
5. De Yoreo, J. J., Lux, D. R., and Guidotti, C. V., 1991, Thermal modeling in low-pressure/high-temperature metamorphic belts: Tectonophysics, v. 188, no. 3/4, p. 209-238.
6. England, P. C., and Thompson, A. B., 1984, Pressure-temperature-time paths of regional metamorphism, part I, heat transfer during the evolution of regions of thickened continental crust: Jour. Petrology, v. 25, no. 4, p. 894-928.
7. Ozisik, N., 1980, Heat conduction: John Wiley & Sons, New York, 687 p.
8. Peacock, S. M., 1987, Creation and preservation of subduction-related inverted metamorphic gradients: Jour. Geophys. Res., v. B92, no. 12, p. 763-781.
9. Press, W. P., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T., 1986, Numerical recipes: the art of scientific computing: Cambridge Univ. Press, Cambridge, 818 p.
10. Royden, L., Sclater, J. G., and Von Herzen, R. P., 1980, Continental margin subsidence and heat flow: important parameters in formation of petroleum hydrocarbons: Am. Assoc. Petroleum Geologists Bull., v. 64, no. 2, p. 173-187.
11. Sandiford, M., 1989, Secular trends in the thermal evolution of metamorphic belts: Earth Planet. Sci. Lett., v. 95, p. 85-96.
12. Smith, G. D., 1985, Numerical solutions of partial differential equations: finite difference methods (3rd ed.): Oxford Univ. Press, Oxford, 337 p.