Published May 22, 2009 | Version v1
Journal article

The closed-form solution for the 2D Poisson equation with a rectangular boundary

  • 1. Laboratory of Photonic Information Technology, South China Normal University, Guangzhou 510631 (China)

Description

The 2D Green's function for the Poisson equation with a rectangular boundary is investigated using the Schwarz-Christoffel transformation method. A closed form of the Green's function containing Jacobi elliptic functions is developed

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/42/20/205202

Additional details

Identifiers

DOI
10.1088/1751-8113/42/20/205202;
PII
S1751-8113(09)92672-5;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
42
Journal Issue
20
Journal Page Range
[7 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40070669
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
GREEN FUNCTION; JACOBIAN FUNCTION; MATHEMATICAL SOLUTIONS; POISSON EQUATION; TRANSFORMATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS