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

DOI10.1088/1751-8113/42/20/205202zbMath1180.35189OpenAlexW2078355134MaRDI QIDQ3630129

Qi Guo, Qun Jiang, Qian Shou

Publication date: 2 June 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/42/20/205202

zbMATH Keywords

Green's functionJacobi elliptic functions

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Second-order elliptic equations (35J15) Solutions to PDEs in closed form (35C05)

Related Items (2)

Exact solution of Poisson's equation with an elliptical boundary ⋮ Fundamental solution of the Laplacian on flat tori and boundary value problems for the planar Poisson equation in rectangles

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