Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions

Benyam Mebrate; Purnachandra Rao Koya

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Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions

机译：具有Dirichlet边界条件的二维Poisson方程的数值解

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In this paper we have introduced Numerical techniques to solve a two dimensional Poisson equation together with Dirichlet boundary conditions. Specifically two methods are used for the purpose of numerical solution, viz. Finite difference method and Finite element method. The implementation of the solutions is done using Microsoft Office Excel worksheet or spreadsheet. The numerical solutions obtained by these two methods are also compared with each other graphically in two and three dimension.

机译：在本文中，我们介绍了数值技术和Dirichlet边界条件一起求解二维Poisson方程。具体地，出于数值解的目的，使用了两种方法。有限差分法和有限元法。解决方案的实现是使用Microsoft Office Excel工作表或电子表格完成的。通过这两种方法获得的数值解也将在二维和三维图中进行图形比较。

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《American Journal of Applied Mathematics》 |2015年第6期|共8页
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Benyam Mebrate; Purnachandra Rao Koya;
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中图分类数学;
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6. Numerical Solution of Two-Dimensional Stokes Equations for Flow with Particles in a Channel of Arbitrary Shape Using Boundary-Conforming Coordinates [O] . A. S. Dvinsky, A. S. Popel -1

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7. Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions [O] . Benyam Mebrate 2015

机译：具有Dirichlet边界条件的二维泊松方程的数值解

Numerical Solution of a Two Dimensional Poisson Equation with Dirichlet Boundary Conditions

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