Solution of Laplace`s Equation Using Numerical Methods

Authors

  • Eltigani Ismail Hassan Department of Mathematics and Statistics, College of Science, Al Imam Mohammad Ibn Saud Islamic University, Riyadh 11642, KSA. Department of Mathematics, College of applied science and industrial, University of Bahri

Keywords:

, Laplace equation, Numerical method, Laplacian difference, Uniform grid.

Abstract

This paper is simple review of the solution of Laplace`s equation in rectangular coordinates system, cylindrical polar coordinates system and spherical polar coordinate system. It also covers numerical method in the solution of Laplace`s equation.

References

[1] Partial Differential equations Of Mathematical Physics.1969.pp 120-126.
[2] Paul W. Berg& James L. MC Gregor Elementary differential equation 1960 , pp55.
[3] Steven C. Chapra &Roymond P- Canale Numerical methods for Engineers 2002.pp 40.
[4] Grewal M.A. ph. D. Higher Engineering Methematics 1990.pp 86-99.
[5] Numerical Solution of Laplace Equation By Gilberto. Urroz,October 2004. pp 4-7 .

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Published

2016-02-07

How to Cite

Hassan, E. I. (2016). Solution of Laplace`s Equation Using Numerical Methods. American Scientific Research Journal for Engineering, Technology, and Sciences, 16(1), 178–192. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/1248

Issue

Vol. 16 No. 1 (2016)

Section

Articles

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