On Modelling Physical Phenomena

  • George Adomian
Part of the Fundamental Theories of Physics book series (FTPH, volume 60)


Our use of the term “mathematical model” or “model” will refer to a set of consistent equations intended to describe the particular features or behavior of a physical system which we seek to understand. Thus, we can have different models of the system dependent on the questions of interest and on the features relevant to those questions. To derive an adequate mathematical description with a consistent set of equations and relevant conditions, we clearly must have in mind a purpose or objective and limit the problem to exclude factors irrelevant to our specific interest. We begin by considering the pertinent physical principles which govern the phenomena of interest along with the constitutive properties of material with which the phenomena may interact.


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  1. 1.
    N.S. Koshlyakov, M. M. Smirnov, and E.B. Gliner, Differential Equations of Mathematical Physics, North Holland Publishers (1964).Google Scholar

Suggested Reading

  1. 1.
    Y. Cherruault, Mathematical Modelling in Biomedicine, Reidel (1986).Google Scholar
  2. 2.
    R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics, Addison-Wesley (1965).Google Scholar
  3. 3.
    I. S. Sokolnikoff and R.M. Redheffer, Mathematics of Physics and Modern Engineering, 2nd ed., McGraw-Hill (1966).Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • George Adomian
    • 1
  1. 1.General Analytics CorporationAthensUSA

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