Numerical Process Of Two Dimensional Laplace’s Equation Using Finite Difference and Finite Element Method
Article Sidebar
-
Finite Difference Method , Finite Element Method, Two Dimensional Laplace Equation .
Abstract
This paper presents a study of finite difference method and finite element method to solve the problem of spreading of temperature in a thin metal square plate installed from the left side and the lower side on the coordinate axes and at zero centigrade, while the right and upper sides were kept at certain temperatures, which the two dimensional Laplace equation simulated with Dirichlet boundary conditions. In additions by using iterative methods as Jacobi method and Gauss- Seidel method to solving the system of linear algebraic equations. The study has showed that the numerical results of the finite difference method were identical with the numerical results of the finite element method and the two methods were highly accurate in comparison to the analytical solution. On the other hand, the method of Gauss- Seidel iterative was faster in solving linear equation systems and more accurate than Jacobi iterative method.
Full text article
Authors
This work is licensed under a Creative Commons Attribution 4.0 International License.
In a brief statement, the rights relate to the publication and distribution of research published in the journal of the University of Sebha where authors who have published their articles in the journal of the university of Sebha should how they can use or distribute their articles. They reserve all their rights to the published works, such as (but not limited to) the following rights:
- Copyright and other property rights related to the article, such as patent rights.
- Research published in the journal of the University of Sebha and used in its future works, including lectures and books, the right to reproduce articles for their own purposes, and the right to self-archive their articles.
- The right to enter a separate article, or for a non-exclusive distribution of their article with an acknowledgment of its initial publication in the journal of Sebha University.
Privacy Statement The names and e-mail addresses entered on the Sabha University Journal site will be used for the aforementioned purposes only and for which they were used.
