Approximate solution of the nonlinear heat conduction equation in a semi-infinite domain

Mathematical Problems in Engineering

Volumn 2010, Issue , 2010, Pages

  Yu, Jun ^a   Yang, Yi ^a   Campo, Antonio ^b  

^a University of Vermont   (United States)

^b The University of Texas at San Antonio   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; APPROXIMATE SOLUTION; APPROXIMATION METHODS; BOUNDARY ENERGIES; EFFECTIVE CONDUCTIVITY; ENERGY DENSITY FUNCTIONS; FIRST-ORDER; HEAT WAVES; INTERNAL ENERGIES; NONLINEAR HEAT-CONDUCTION EQUATION; PER UNIT VOLUME; SELF-SIMILAR; SELF-SIMILAR ANALYSIS; SEMI-INFINITE DOMAINS; SPATIAL DOMAINS; TAYLOR POLYNOMIALS;

APPROXIMATION THEORY; CLIMATOLOGY; HEAT CONDUCTION; HYDROGELS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; SIGNAL FILTERING AND PREDICTION;

POLYNOMIALS;

EID: 77956950691     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2010/421657     Document Type: Article

References (14)

1. Becker M., Nonlinear transient heat conduction using similarity groups Journal of Heat Transfer 2000 122 1 33 39
2. Parlange J.-Y., Hogarth W. L., Parlange M. B., Approximate analytical solution of the nonlinear diffusion equation for arbitrary boundary conditions Transport in Porous Media 1998 30 1 45 55
3. Zel'dovich Y. B., Raizer Yu. P., Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena 1966 chapter 5 New York, NY, USA Academic Press
4. Storm E., Approach to high compression in inertial fusion Journal of Fusion Energy 1988 7 2-3 131 137
5. Perry T. S., Davidson S. J., Serduke F. J. D., Bach D. R., Smith C. C., Foster J. M., Doyas R. J., Ward R. A., Iglesias C. A., Rogers F. J., Abdallah J. Jr., Stewart R. E., Kilkenny J. D., Lee R. W., Opacity measurements in a hot dense medium Physical Review Letters 1991 67 27 3784 3787
6. Lwer TH., Sigel R., Eidmann K., Fldes I. B., Hller S., Massen J., Tsakiris G. D., Witkowski S., Preuss W., Nishimura H., Shiraga H., Kato Y., Nakai S., Endo T., Uniform multimegabar shock waves in solids driven by laser-generated thermal radiation Physical Review Letters 1994 72 20 3186 3189
7. Barbaro G., Bianco N., Manca O., One-dimensional approximate analytical solutions of heat conduction in semi-infinite solids with temperature-dependent properties Hybrid Methods in Engineering 2001 3 4 345 380
8. Singh A., Singh I. V., Prakash R., Meshless analysis of unsteady-state heat transfer in semi-infinite solid with temperature-dependent thermal conductivity International Communications in Heat and Mass Transfer 2006 33 2 231 239
9. zisik M. N., Heat Conduction 1980 chapter 11 New York, NY, USA John Wiley and Sons
10. Marshak R. E., Effect of radiation on shock wave behavior Physics of Fluids 1958 1 1 24 29
11. Pakula R., Sigel R., Self-similar expansion of dense matter due to heat transfer by nonlinear conduction Physics of Fluids 1985 28 1 232 244
12. Pakula R., Sigel R., Erratum: Self-similar expansion of dense matter due to heat transfer by nonlinear conduction [Phys. Fluids 28, 232 (1985)] Physics of Fluids 1986 29 4 1340
13. Sigel R., Pakula R., Sakabe S., Tsakiris G. D., X-ray generation in a cavity heated by 1.3- or 0.44-m laser light. III. Comparison of the experimental results with theoretical predictions for X-ray confinement Physical Review A 1988 38 11 5779 5785
14. Massen J., Tsakiris G. D., Eidmann K., Fldes I. B., Lwer TH., Sigel R., Witkowski S., Nishimura H., Endo T., Shiraga H., Takagi M., Kato Y., Nakai S., Supersonic radiative heat waves in low-density high-Z material Physical Review E 1994 50 6 5130 5133