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Math. Comput. Appl. 2004, 9(2), 215-224; doi:10.3390/mca9020215

Green’s Function for Parallel Planes and an Open Rectangular Channel-Flow

1
Dean of the faculty of computers and informatics, Zagazig Univ., Zagazig, Egypt
2
Department of mathematics, faculty of science, Zagazig Univ., Zagazig, Egypt
*
Author to whom correspondence should be addressed.
Published: 1 August 2004
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Abstract

Here we use a more convenient technique to generate a faster convergent Green's function needed for solving Laplace's equation in two cases: the first domain is bounded by two parallel planes; and the second is an infinite open rectangular prism. Green's function usually is expressed as a series of images which is slowly convergent, and that is why we transform it into an integral representation which is rapidly convergent and stable. Many examples are herein given and discussed for the numerical applications of the above two cases; and then we make a comparison between our calculations and some others.
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Ismail, I.A.; Elbehady, E.E. Green’s Function for Parallel Planes and an Open Rectangular Channel-Flow. Math. Comput. Appl. 2004, 9, 215-224.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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