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Solving pdes in python pdf

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This article describes two Python modules for solving partial differential equations (PDEs): PyCC is designed as a Matlab-like environment for writing algorithms for solving PDEs, and SyFi creates matrices based on symbolic mathematics, code generation, and the finite element method.

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Fenics is a widely used professional FEM framework solving PDEs in arbitrary domains. The python script defines a similar analytically solvable 2-D Poisson equation and solves it using regular mesh as in demo.cpp. Only the solving parts were compared, Fenics builds the mesh quite slowly since it is accessed through python modules.

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The above example is just to let you get a taste of what ODE is and how to use python to solve ODE in just a few lines of code. When the system becomes more complicated, for example, more than 1 components get involved (here we referred to as the first-order ODE ), another python package called GEKKO or scipy.integrate.solve_ivp may help you do.

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