Partial Differential Equations

  • B. Davies
Part of the Applied Mathematical Sciences book series (AMS, volume 25)


As an example to show how the Laplace transform may be applied to the solution of partial differential equations, we consider the diffusion of heat in an isotropic solid body.


Partial Differential Equation Transmission Line LAPLACE Transform Subsequent Time Voltage Distribution 


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  1. 1.
    Many more examples may be found in CARSLAW & JAEGER (1941), Chs. 5–10.Google Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • B. Davies
    • 1
  1. 1.The Australian National UniversityCanberraAustralia

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