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Numerical Python : A Practical Techniques Approach for Industry by Robert Johansson

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CHAPTER 11

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Partial Differential Equations

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 for solving PDEs numerically are ...

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