TLM representation of the hyperbolic heat conduction equation

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

Volumn 15, Issue 3, 2002, Pages 303-315

  Pulko, S H ^a   Wilkinson, A J ^a   Saidane, A ^b  

^a UNIVERSITY OF HULL   (United Kingdom)

^b UNIVERSITY OF ORAN   (Algeria)

Author keywords

Hyperbolic heat conduction; TLM

Indexed keywords

ELECTRIC LINES; HEAT CONDUCTION; HEATING; MATRIX ALGEBRA; THERMAL DIFFUSION;

THERMAL DIFFUSION EQUATIONS; TRANSMISSION LINE MATRIX (TLM) MODELS;

TRANSMISSION LINE THEORY;

EID: 0036571470     PISSN: 08943370     EISSN: None     Source Type: Journal    
DOI: 10.1002/jnm.445     Document Type: Article

References (18)

1. A simple explicit and unconditionally stable routine for the solution of the diffusion equation
2. Automatic timestepping in TLM routines for the modelling of thermal diffusion processes
3. An error parameter in TLM diffusion modelling
4. The efficiency of transmission line matrix modelling - A rigorous viewpoint
5. A form of heat conduction equation which eliminates the paradox of instantaneous propagation
6. Les paradoxes de la theorie continue de l'equation de la chaleur
7. Hyperbolic heat conduction equation for materials with a non-homogeneous inner structure
8. Experimental evidence of hyperbolic heat conduction in processed meat
9. A method for algebraic analysis of the TLM algorithm
10. Comparative studies of nonlinear hyperbolic and parabolic heat conduction for various boundary conditions
11. Discretisation effects in TLM diffusion models
12. On the parabolic, hyperbolic and discrete formulation of the heat conduction equation
13. On diffusion by discontinuous movements, and on the telegraph equation
14. Numerical analysis for hyperbolic heat conduction
15. The effect of stubs on TLM diffusion modelling networks
16. The consistency and accuracy of the TLM method for diffusion and its relation to existing techniques