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The Diffusion Equation

  • Aslak TveitoEmail author
  • Hans Petter Langtangen
  • Bjørn Frederik Nielsen
  • Xing Cai
Chapter
Part of the Texts in Computational Science and Engineering book series (TCSE, volume 7)

Abstract

This chapter treats the numerical simulation of diffusion processes. Diffusion takes place in space and time simultaneously and is an important phenomenon in nature and technology. Scientific computations of physical quantities such as temperature, pollution, and velocity are frequently based on models for diffusion. Diffusion is often coupled with other processes in physical problems, but in this chapter we will only consider diffusion as an isolated process.

Keywords

Diffusion Equation Time Level Diffusion Problem Diffusive Transport Implicit Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Aslak Tveito
    • 1
    • 2
    Email author
  • Hans Petter Langtangen
    • 1
    • 2
  • Bjørn Frederik Nielsen
    • 1
    • 3
  • Xing Cai
    • 1
    • 2
  1. 1.Center for Biomedical ComputingSimula Research LaboratoryLysakerNorway
  2. 2.Department of InformaticsUniversity of OsloOsloNorway
  3. 3.Department of Mathematical Sciences and TechnologyNorwegian University of Life SciencesÅsNorway

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