Padé extension of Bergman-series solutions to nonlinear boundary-value problems in heat conduction

DOI10.1007/BF00042773zbMath0586.73195OpenAlexW2003151412MaRDI QIDQ1071600

D. W. Barclay, David L. Clements, Colin Rogers

Publication date: 1986

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00042773

zbMATH Keywords

heat conductionnonlinear boundary conditionnonlinear boundary-value problemssmall-time solutionBergman-type series solutionsiterated complementary error integralsregion bounded internally by a cylindrical or spherical surfaceStefan-Boltzmann type

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Series solutions to PDEs (35C10) Padé approximation (41A21)

Related Items (1)

Infiltration in soils with prescribed boundary concentration

Cites Work

• Padé extensions to ray series methods and analysis of transients in inhomogeneous viscoelastic media of hereditary type
• Heat conduction with nonlinear boundary condition
• Radial propagation of axial shear waves in an incompressible elastic material under finite deformation
• Cylindrical impact waves in inhomogeneous viscoelastic media
• Nonlinear Heat Transfer Problem
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