快速泊松方程求解--matlabFast Poisson Solver in a Square

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快速泊松方程求解--matlabFast Poisson Solver in a Square

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In this project, we aim to develop a fast and efficient method for solving the Poisson equation, specifically in a square domain. While there are existing methods for solving this equation, we believe that our proposed method will offer significant advantages in terms of accuracy and speed.

Our approach involves leveraging the power of Matlab to create a custom algorithm for solving the Poisson equation. We will first break down the problem into discrete parts, and then use a combination of advanced numerical methods and optimization techniques to solve each part efficiently.

To validate our method, we will compare its results with those obtained from existing methods, such as finite difference or spectral methods. We will also conduct a series of performance tests to demonstrate the speed and efficiency of our approach.

Overall, we believe that this project has the potential to significantly improve the state of the art in Poisson equation solving, and could have important implications in a wide range of fields, including computational physics, engineering, and computer science.