Exact and Numerical Solutions of Poisson Equation for Electrostatic Potential Problems

Author

Yıldırım, Selçuk

Source

Mathematical Problems in Engineering

Issue

Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-11, 11 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2008-04-14

Country of Publication

Egypt

No. of Pages

11

Main Subjects

Civil Engineering

Abstract EN

Homotopy perturbation method (HPM) and boundary element method (BEM) for calculating the exact and numerical solutions of Poisson equation with appropriate boundary and initial conditions are presented.

Exact solutions of electrostatic potential problems defined by Poisson equation are found using HPM given boundary and initial conditions.

The same problems are also solved using the BEM.

The cell integration approach is used for solving Poisson equation by BEM.

The problem region containing the charge density is subdivided into triangular elements.

In addition, this paper presents a numerical comparison with the HPM and BEM.

American Psychological Association (APA)

Yıldırım, Selçuk. 2008. Exact and Numerical Solutions of Poisson Equation for Electrostatic Potential Problems. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-482260

Modern Language Association (MLA)

Yıldırım, Selçuk. Exact and Numerical Solutions of Poisson Equation for Electrostatic Potential Problems. Mathematical Problems in Engineering No. 2008 (2008), pp.1-11.
https://search.emarefa.net/detail/BIM-482260

American Medical Association (AMA)

Yıldırım, Selçuk. Exact and Numerical Solutions of Poisson Equation for Electrostatic Potential Problems. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-11.
https://search.emarefa.net/detail/BIM-482260

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-482260