Numerical Solution of Functional Equations by Means of Laplace Transform—III

The Diffusion Equation

Richard Ernest Bellman, Robert E. Kalaba, Jo Ann Lockett

ResearchPublished 1964

One of the fundamental equations of chemistry and biology is the heat or diffusion equation. A new method for its numerical integration is presented, which hinges on the numerical inversion of Laplace transforms. One advantage over the usual finite difference schemes is that a small amount of computation yields the solution for large values of the time. 21 pp.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1964
  • Print Format: Paperback
  • Paperback Pages: 21
  • Paperback Price: $20.00
  • DOI: https://doi.org/10.7249/RM3974
  • Document Number: RM-3974-NIH

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RAND Style Manual
Bellman, Richard Ernest, Robert E. Kalaba, and Jo Ann Lockett, Numerical Solution of Functional Equations by Means of Laplace Transform—III: The Diffusion Equation, RAND Corporation, RM-3974-NIH, 1964. As of October 11, 2024: https://www.rand.org/pubs/research_memoranda/RM3974.html
Chicago Manual of Style
Bellman, Richard Ernest, Robert E. Kalaba, and Jo Ann Lockett, Numerical Solution of Functional Equations by Means of Laplace Transform—III: The Diffusion Equation. Santa Monica, CA: RAND Corporation, 1964. https://www.rand.org/pubs/research_memoranda/RM3974.html. Also available in print form.
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