Abstract
The connection algorithms used in transmission-line matrix (TLM) modelling of diffusion processes for describing boundary conditions in both link-line and link-resistor nodal configurations have been derived. The new algorithms regarding the inhomogeneous Robin condition enhance the capability of the TLM method in simulating thermal or particle diffusion phenomena. A number of boundary treatments in the existing literature have been found to be special cases of our results. The Dirichlet-type boundary condition is also discussed. TLM numerical results using the new algorithms, particularly with the link-resistor model for achieving signal synchronization, are shown to be in excellent agreement with the available analytical solutions.
Original language | English |
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Pages (from-to) | 69-82 |
Number of pages | 14 |
Journal | International Journal of Numerical Modelling: Electronic Networks, Devices and Fields |
Volume | 19 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2006 |