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Sandipan Dey's Blog – July 2020 Archive (3)

Fourier Series and Differential Equations with some applications in R and Python

Heat / Diffusion Equation

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The following animation shows how the temperature changes on the bar with time (considering only the first 100 terms for the Fourier series for the square wave).…

heat3

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Added by Sandipan Dey on July 12, 2020 at 10:00am — No Comments

Fourier Series and Differential Equations with some applications in R and Python (Part 2)

This is the 2nd part of the article on a few applications of Fourier Series in solving differential equations. All the problems are taken from the edx Course: MITx - 18.03Fx: Differential Equations Fourier Series and Partial Differential Equations. The article…

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Added by Sandipan Dey on July 4, 2020 at 5:00pm — No Comments

Fourier Series and Differential Equations with some applications in R (Part 1)

In this article, a few applications of Fourier Series in solving differential equations will be described. All the problems are taken from the edx Course: MITx - 18.03Fx: Differential Equations Fourier Series and Partial Differential Equations. The article will be posted in two parts (two separate blongs)

First a basic introduction to the Fourier series will be given and then we shall see how to solve the following ODEs / PDEs using Fourier series:

  1. Find…
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Added by Sandipan Dey on July 4, 2020 at 5:00pm — 3 Comments

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