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

I. A. Ismail; E. E. Elbehady

doi:10.3390/mca9020215

You are currently viewing a new version of our website. To view the old version click .

Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).

Article

1 August 2004

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

and

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.

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

Version Notes

Order Reprints

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.

Article Metrics

Citations

Article Access Statistics

Journal Statistics

Multiple requests from the same IP address are counted as one view.

Extrapolation Method for Improving the Solution of Fuzzy Initial Value Problems

The Simple Recurrent Formulas to Find a Sequences of Numbers Satisfying Equation x2+(x+1)2=z2 and the Properties of These Integers