𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The consistency and accuracy of the TLM method for diffusion and its relationship to existing methods

✍ 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

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Accuracy of the frequency-domain TLM met
✍ J. Hesselbarth; R. Vahldieck πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 161 KB πŸ‘ 1 views

## Abstract This paper investigates the accuracy and convergence of frequency‐domain (FD) TLM solutions and describes a method to identify non‐physical solutions. The numerical dispersion characteristics of various discretization schemes (β€˜nodes’) are compared. The occurrence of non‐physical soluti

TLM for diffusion: the artefact of the s
✍ Peter Enders; Donard de Cogan πŸ“‚ Article πŸ“… 2001 πŸ› John Wiley and Sons 🌐 English βš– 125 KB

## 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 hybrid TLM-FDTD method for the modelli
✍ Chi Chung Wong; Cynthia Lee πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 120 KB πŸ‘ 2 views

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 method of fundamental solutions and
✍ C. S. Chen; M. A. Golberg; Y. C. Hon πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 131 KB πŸ‘ 2 views

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