Heat conduction in an inhomogeneous half-space subject to a nonlinear boundary condition. Application of Bergman-type series

DOI10.1016/0020-7225(85)90089-8zbMath0573.35051OpenAlexW2015749995MaRDI QIDQ1063176

R. Sawatsky, Colin Rogers

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0020-7225(85)90089-8

zbMATH Keywords

nonlinear boundary conditionvariable coefficientsRobin conditionlinear heat equationBergman-type seriesStefan-Boltzmann radiation condition

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Series solutions to PDEs (35C10)

Related Items

On a class of reciprocal Stefan moving boundary problems

Cites Work

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• Heat conduction with nonlinear boundary condition
• Bäcklund transformations and their applications
• Cylindrical impact waves in inhomogeneous viscoelastic media
• Bergman’s integral operator method in inhomogeneous elasticity
• On The Bergman Operator Method and Anti-Plane Contact Problems Involving an Inhomogeneous Half-Space
• Asymptotic Solution to a Class of Nonlinear Volterra Integral Equations