Numerical solution of the modified Bessel equation

DOI10.1093/IMANUM/DRS031zbMath1271.65144arXiv1110.2089OpenAlexW2161110508MaRDI QIDQ2841065

Michael Carley

Publication date: 24 July 2013

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.2089

zbMATH Keywords

numerical exampleserror boundsbiharmonic equationPoisson equationmodified Bessel functiondiscrete Hankel transformcylindrical geometriesGreen's-function-based solver

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Computation of special functions and constants, construction of tables (65D20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical approximation and evaluation of special functions (33F05)

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