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.
Math. Comput. Appl. 2004, 9(2), 215-224; https://doi.org/10.3390/mca9020215
Published: 1 August 2004
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.
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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. https://doi.org/10.3390/mca9020215
AMA Style
Ismail IA, Elbehady EE. Green’s Function for Parallel Planes and an Open Rectangular Channel-Flow. Mathematical and Computational Applications. 2004; 9(2):215-224. https://doi.org/10.3390/mca9020215
Chicago/Turabian StyleIsmail, I. A., and E. E. Elbehady. 2004. "Green’s Function for Parallel Planes and an Open Rectangular Channel-Flow" Mathematical and Computational Applications 9, no. 2: 215-224. https://doi.org/10.3390/mca9020215
