Solving the Diffusion/Heat equation by Fourier Tranform | Science Online Course by Udemy

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PDE solved by Fourier Transform (part 2)

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Solving the Diffusion/Heat equation by Fourier Tranform

This course aims to show how the Fourier Transform (FT) can be a powerful tool to solve Partial Differential Equations (PDE). The PDE that is treated in the course is the Diffusion/Heat equation. This equation is first derived from Physics principles described in the language of mathematics, then it is rigorously solved. The course is the second installment of: “Partial Differential Equations solved by Fourier Transform”, which was previously published by the author. Therefore, it could be helpful to the student to already know the basics of those subjects treated in that course. Calculus and Multivariable Calculus are other necessary prerequisite to the course, especially the topics related to: calculation of derivatives and integrals, how to compute the gradient, the Laplacian of a function, spherical coordinates, the calculation of the Jacobian, etc. Some knowledge of residues used in Complex Calculus might be useful as well.

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