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Abstract
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Article Information:
A New Algorithm that Developed Finite Difference Method for Solving Laplace Equation for a Plate with Four Different Constant Temperature Boundary Conditions
H. Ahmadi and M. Manteghian
Corresponding Author: M. Manteghian
Submitted: March 16, 2012
Accepted: April 13, 2012
Published: November 15, 2012 |
Abstract:
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Solving Laplace equation Δ2T = 0 using analytical methods is difficult, so numerical methods are
used. One of the numerical methods for solving Laplace equation is finite difference method. We know that
knotting and writing finite difference method for a specific body, eventually will give rise to linear algebraic
equations. In this study, a new algorithm use for develop finite difference method for solving Laplace equation.
In this algorithm, the temperature of the nodes of a specific figure quickly will be evaluated using finite
difference method and the number of equations would be reducing significantly. By this method, a new formula
for solving Laplace equation for a plate with four different constant temperature boundary conditions (Dirichlet
condition) derived.
Key words: Finite difference, laplace equation, numerical methods, , , ,
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Cite this Reference:
H. Ahmadi and M. Manteghian, . A New Algorithm that Developed Finite Difference Method for Solving Laplace Equation for a Plate with Four Different Constant Temperature Boundary Conditions. Research Journal of Applied Sciences, Engineering and Technology, (22): 4630-4635.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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