Solution of Dirichlet problem for a triangle region in terms of elliptic functions

DOI10.1016/J.AMC.2006.03.036zbMath1186.35035OpenAlexW2167516012MaRDI QIDQ861074

Nurcan Kurt, Mehmet Sezer

Publication date: 9 January 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.03.036

zbMATH Keywords

Dirichlet problemGreen functionselliptic integralelliptic functionLaplace and Poisson equations

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Elliptic functions and integrals (33E05) Green's functions for elliptic equations (35J08)

Related Items (3)

An accurate and novel numerical simulation with convergence analysis for nonlinear partial differential equations of Burgers-Fisher type arising in applied sciences ⋮ Solution of the two-dimensional heat equation for a square in terms of elliptic functions ⋮ An improved approximation for hydraulic conductivity for pipes of triangular cross-section by asymptotic means

Cites Work

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• Numerical approximation of eigenvalues and of Green's operator for an elliptic boundary value problem
• Integrable structure of the Dirichlet boundary problem in two dimensions
• Solution of the Dirichlet and Stokes exterior boundary problems for the Earth's ellipsoid.
• Solution of Dirichlet problem for a rectangular region in terms of elliptic functions

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