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TLM‐based solutions of the Klein–Gordon equation (Part II)
Authors:William J. O'Connor  Fergus J. Clune
Abstract:In Part I, two TLM‐based solutions were presented for the Klein–Gordon Equation in its basic form, with the TLM pulses representing the primary variable. In Part II, two further approaches are presented in which the TLM pulses now represent derivatives of the primary variable, with respect to either space or time. As in Part I, the two solution schemes were verified symbolically and numerically. They illustrate further ways to extend the power of TLM beyond its traditional application areas. Some of these areas are discussed briefly. Copyright © 2002 John Wiley & Sons, Ltd.
Keywords:TLM  transmission line matrix  dispensive wave equation  dispersion  Klein–  Gordon equation  numerical methods  forced wave equation
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