Improved numerical solutions of Laplace’s equation

DOI10.1119/1.16810zbMath0731.65088OpenAlexW2089916828MaRDI QIDQ3357481

Philip W. Gash

Publication date: 1991

Published in: American Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1119/1.16810

zbMATH Keywords

algorithmsconvergencefinite difference methodPoisson's equationaccuracyelectric potentialLaplace's equationTaylor series expansionmaximum uniform charge density

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Electro- and magnetostatics (78A30)

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