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A study assignment as part of the subject "Equations of Mathematical Physics". It represents the solution of differential problems of Dirichlet and Neumann type on the ring.

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Solving Differential Problems of Dirichlet and Neumann Type

This repository contains an academic assignment completed as part of the subject "Equations of Mathematical Physics". The aim was to solve differential problems of Dirichlet and Neumann type on a ring and a circle using symbolic computation.

Description

In this assignment, I explored the use of symbolic computation to solve differential equations. The code is written in Python and includes an implementation of the theoretical aspects of solving the Laplace equation in Dirichlet and Neumann problems on the ring and circle, considering heterogeneity. Additionally, the repository contains a tutorial from my instructor that provides a detailed explanation of how to solve these kinds of problems.

Contents

  • main.py: A Python script that includes implementations of symbolic methods used to solve differential problems.

  • methodology.pdf: A document containing detailed methodology instructions, including a thorough description of the problem statement and the algorithm for solving it.

  • LICENSE: The license under which the code is distributed.

Getting Started

To get started with this project, you can simply clone the repository and run the main.py script. Once the script is running, a user-friendly GUI will appear, allowing you to enter all the initial data required to solve the problem. You can also refer to the methodology.pdf file for more information on the problem statement.

License

This project is licensed under the MIT License - see the LICENSE file for details.

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A study assignment as part of the subject "Equations of Mathematical Physics". It represents the solution of differential problems of Dirichlet and Neumann type on the ring.

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