SOLVING PARTIAL DIFFERENTIAL EQUATIONS OF PARABOLIC TYPE IN PRACTICAL MATHEMATICAL PACKAGES
Аннотация
The paper titled "Solving partial differential equations of parabolic type in
practical mathematical packages" discusses the numerical methods and practical
implementation of solving partial differential equations (PDEs) of parabolic type in
mathematical software packages.
Библиографические ссылки
Strikwerda, J. C. (2004). Finite difference schemes and partial differential equations.
SIAM.
LeVeque, R. J. (2007). Finite difference methods for ordinary and partial differential
equations: steady-state and time-dependent problems. SIAM.
Johnson, C. (2011). Numerical solution of partial differential equations by the finite
element method. Dover Publications.
Boyd, J. P. (2001). Chebyshev and Fourier spectral methods. Dover Publications.
MATLAB documentation. https://www.mathworks.com/help/matlab/ordinarydifferential-equations.html
Mathematica documentation.
https://reference.wolfram.com/language/tutorial/PartialDifferentialEquations.html
Python documentation.
https://docs.scipy.org/doc/scipy/reference/tutorial/integrate.html
FEMM (Finite Element Method Magnetics) software package.
https://www.femm.info/wiki/HomePage
OpenFOAM (Open Field Operation and Manipulation) software package.
COMSOL Multiphysics software package. https://www.comsol.com/
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