On the Existence, Uniqueness and Application of the Finite Difference Method for Solving Cauchy-Dirichlet Problem
DOI:
https://doi.org/10.29020/nybg.ejpam.v15i3.4403Abstract
In this paper we treat the existence, the uniqueness and the numerical resolution of the problem at the elliptic limits case of the Cauchy-Dirichlet problem of the type the stationary convection-diffusion equation. By applying the Lax-Milgram theorem, we proved the existence and the uniqueness of the problem, then we solved the problem numerically by the finite difference method. In addition, we solved the problem analytically using the method of variation of constants. Finally, we performed a numerical simulation of said problem to approach the exact solution by the numerical solution using the software Scilab
Downloads
Published
Issue
Section
License
Copyright (c) 2022 European Journal of Pure and Applied Mathematics
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.