The residual variable method applied to the diffusion equation in cylindrical coordinates

DOI10.1007/BF01187263zbMath0706.35056OpenAlexW1995817991MaRDI QIDQ919183

Elsie Sterbin Gottlieb

Publication date: 1989

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01187263

zbMATH Keywords

cylindrical coordinatesdiffusion equationresidual variable method

Mathematics Subject Classification ID

Heat equation (35K05) Theoretical approximation in context of PDEs (35A35) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (2)

Transient response of a cylindrical cavity with and without a bonded shell in an infinite elastic medium ⋮ Extension of the residual variable method to propagation problems and its application to the diffusion equation in spherical coordinates

Cites Work

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• Residual potential method in spherical coordinates and related approximations
• Doubly asymptotic, boundary-element analysis of dynamic soil-structure interaction
• Residual concentration method for the problem of diffusion on the surface of a spherical cavity
• Transient response of a spherical shell in an acoustic medium—Comparison of exact and approximate solutions
• Doubly asymptotic approximations for transient motions of submerged structures
• A Proof of Kirkman's Hypothesis
• Complex Zeros of Cylinder Functions
• Excitation of an Elastic Cylindrical Shell by a Transient Acoustic Wave

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