Parabolic Equations

  • Wilbert James Lick
Part of the Lecture Notes in Engineering book series (LNENG, volume 41)


Partial differential equations (PDEs) are used throughout science and engineering and are especially prevalent in continuum mechanics. They can be classified in much the same way as ordinary differential equations, e.g., first-order or higher-order, linear or nonlinear, homogeneous or non-homogeneous. Certain properties of PDEs are important in determining the appropriate numerical analysis for these PDEs and, because of this, those properties will be briefly reviewed here.


Heat Flux Grid Point Difference Equation Volume Element Heat Equation 
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  1. Lick, W., 1985, Improved Difference Equations for the Heat Equation, Int. J. for Numerical Methods in Engineering, Vol. 21, pp. 1457–1469.CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • Wilbert James Lick
    • 1
  1. 1.Dept. of Mechanical and Environmental EngineeringUniversity of CaliforniaSanta BarbaraUSA

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