Solution of Laplace`s Equation Using Numerical Methods

Eltigani Ismail Hassan

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.


Keywords


: Laplace equation; Numerical method; Laplacian difference; Uniform grid.

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References


Partial Differential equations Of Mathematical Physics.1969.pp 120-126.

Paul W. Berg& James L. MC Gregor Elementary differential equation 1960 , pp55.

Steven C. Chapra &Roymond P- Canale Numerical methods for Engineers 2002.pp 40.

Grewal M.A. ph. D. Higher Engineering Methematics 1990.pp 86-99.

Numerical Solution of Laplace Equation By Gilberto. Urroz,October 2004. pp 4-7 .


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