An integral equation solution to the Dirichlet problem for Laplace's equation in an ellipse

DOI10.1016/0022-247X(90)90390-2zbMath0715.35012MaRDI QIDQ752311

Robert F. Millar

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

ellipseDirichlet problemChebyshev polynomialstheta function

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Linear integral equations (45A05)

Related Items (1)

Steady currents in composite conductors, eigenfunction expansions, and exactly solvable linear integral equations

Cites Work

• Application of the Schwarz function to boundary problems for Laplace's equation
• Conformal Mapping of the Interior of an Ellipse onto a Circle
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