## Abstract This paper investigates the accuracy and convergence of frequencyβdomain (FD) TLM solutions and describes a method to identify nonβphysical solutions. The numerical dispersion characteristics of various discretization schemes (βnodesβ) are compared. The occurrence of nonβphysical soluti
The consistency and accuracy of the TLM method for diffusion and its relationship to existing methods
β Scribed by Peter Johns; Graham Butler
- Publisher
- John Wiley and Sons
- Year
- 1983
- Tongue
- English
- Weight
- 341 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0029-5981
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π SIMILAR VOLUMES
## Abstract We demonstrate both analytically and numerically, that for the TLM algorithm for numerically solving the diffusion equation the standard initial conditions for the incident voltage pulses in terms of the initial concentration (or temperature) distribution introduce a significant numeric
A new hybrid TLM-FDTD algorithm for solving di!usion problems is described. The method utilizes the transmission line model to de"ne the time step and the FDTD's leap-frog algorithm to determine the voltages and currents of the network analogue of the di!usion equation. Unlike the standard TLM metho
The Laplace transform is applied to remove the time-dependent variable in the di usion equation. For nonharmonic initial conditions this gives rise to a non-homogeneous modiΓΏed Helmholtz equation which we solve by the method of fundamental solutions. To do this a particular solution must be obtained