Numerical Python : A Practical Techniques Approach for Industry

© Robert Johansson 2015

Robert JohanssonNumerical Pythonhttps://doi.org/10.1007/978-1-4842-0553-2_11

11. Partial Differential Equations

Robert Johansson^1 

(1)

Chiba, Chiba, Japan

 

Partial differential equations (PDEs) are multivariate different equations where derivatives of more than one dependent variable occur. That is, the derivatives in the equation are partial derivatives. As such they are generalizations of ordinary differentials equations, which were covered in Chapter 9. Conceptually, the difference between ordinary and partial differential equations is not that big, but the computational techniques required to deal with ODEs and PDEs are very different, and solving PDEs is typically much more computationally demanding. Most techniques ...