Next Article in Journal
The Simple Recurrent Formulas to Find a Sequences of Numbers Satisfying Equation x2+(x+1)2=z2 and the Properties of These Integers
Previous Article in Journal
Extrapolation Method for Improving the Solution of Fuzzy Initial Value Problems
Article Menu

Article Versions

Export Article

Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Articles in this Issue were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence. Articles are hosted by MDPI on as a courtesy and upon agreement with the previous journal publisher.
Open AccessArticle
Math. Comput. Appl. 2004, 9(2), 215-224;

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

Dean of the faculty of computers and informatics, Zagazig Univ., Zagazig, Egypt
Department of mathematics, faculty of science, Zagazig Univ., Zagazig, Egypt
Author to whom correspondence should be addressed.
Published: 1 August 2004
PDF [555 KB, uploaded 31 March 2016]


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).

Share & Cite This Article

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.

Show more citation formats Show less citations formats

Article Metrics

Article Access Statistics



[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top