Residual concentration method for the problem of diffusion on the surface of a spherical cavity

DOI10.1016/0020-7225(81)90017-3zbMath0472.73139OpenAlexW2012834251MaRDI QIDQ1158283

Nuri Akkas, Nelson R. jun. Bauld

Publication date: 1981

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(81)90017-3

zbMATH Keywords

classical spherical diffusion equationeliminate second derivative of concentrationresidual concentrationrespect to radial coordinatesurface of spherical cavity

Mathematics Subject Classification ID

Newton-type methods (49M15) Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (4)

Transient response of an infinite elastic medium containing a spherical cavity with and without a shell embedment ⋮ Transient response of a cylindrical cavity with and without a bonded shell in an infinite elastic medium ⋮ The residual variable method applied to the diffusion equation in cylindrical coordinates ⋮ 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
• On the dynamics of hemispherical phase growth in nonuniform concentration fields
• 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
• Excitation of an Elastic Cylindrical Shell by a Transient Acoustic Wave

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