A. Jalob, H., J. Harfash, A. (2006). Sixth and Fourth Order Compact Finite Difference Schemes for Two and Three Dimension Poisson Equation with Two Methods to derive These Schemes. , 24(2), 1-20.
Huda A. Jalob; Akil J. Harfash. "Sixth and Fourth Order Compact Finite Difference Schemes for Two and Three Dimension Poisson Equation with Two Methods to derive These Schemes". , 24, 2, 2006, 1-20.
A. Jalob, H., J. Harfash, A. (2006). 'Sixth and Fourth Order Compact Finite Difference Schemes for Two and Three Dimension Poisson Equation with Two Methods to derive These Schemes', , 24(2), pp. 1-20.
A. Jalob, H., J. Harfash, A. Sixth and Fourth Order Compact Finite Difference Schemes for Two and Three Dimension Poisson Equation with Two Methods to derive These Schemes. , 2006; 24(2): 1-20.

Sixth and Fourth Order Compact Finite Difference Schemes for Two and Three Dimension Poisson Equation with Two Methods to derive These Schemes

basrah journal of science
Article 1, Volume 24, Issue 2, 2006, Pages 1-20    PDF (0 K)
Authors
Huda A. Jalob; Akil J. Harfash
Abstract
In this paper we improve the accuracy of the numerical approximation used to solve
the two and three dimension Poisson equation. We get this improvement by using the
compact finite difference schemes. These schemes give high order accuracy; therefore we
derive five schemes to solve two and three dimension Poisson equation: central finite
difference, fourth and sixth order compact finite difference by using Taylor expansion
scheme, fourth and sixth order compact finite difference by using compact operators
scheme. Numerical experiments are conducted to test accuracy of these schemes.
Keywords
compact finite difference; Poisson equation; fourth and sixth order
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