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Pairtial differential equation

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A visualisation o a solution to the heat equation on a three dimensional plane

In mathematics, a pairtial differential equation (PDE) is a differential equation that contains unkent multivariable functions an thair pairtial derivatives. (A special case are ordinary differential equations (ODEs), which deal wi functions o a single variable an thair derivatives.)

References[eedit | eedit soorce]

  • Partial Differential Equations (Graduate Studies in Mathematics) Lawrence C. Evans, American Mathematical Society.
  • Partial Differential Equations I-III (Applied Mathematical Sciences) Michael Taylor, Springer.
  • Egorov, Y. V., & Shubin, M. A. (2013). Foundations of the classical theory of partial differential equations. Springer Science & Business Media.
  • Egorov, Komech and Shubin - Elements of the Modern Theory of Partial Differential Equations (1999) Springer.
  • Sommerfeld, A. (1949). Partial differential equations in physics. Academic Press.
  • Renardy, M., & Rogers, R. C. (2006). An introduction to partial differential equations. Springer Science & Business Media.
  • Olver, P. J., Introduction to partial differential equations. Berlin: Springer.

Further Readin[eedit | eedit soorce]

  • Computational Partial Differential Equations Using MATLAB, Jichun Li and Yi-Tung Chen, Chapman & Hall.
  • Ames, W. F. (2014). Numerical methods for partial differential equations. Academic Press.
  • M. Nakao, M. Plum, Y. Watanabe (2019) Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations (Springer Series in Computational Mathematics).

Researchers[eedit | eedit soorce]