Consideration of transient heat conduction in a semi-infinite medium using homotopy analysis method

DOI10.1007/s10483-008-1210-3zbMath1176.80041OpenAlexW1985942835MaRDI QIDQ1030344

H. Bararnia, A. Ghorbali, A. Rezania, Davood Domairry Ganji

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-1210-3

zbMATH Keywords

heat conductionsemi-infinite mediumhomotopy analysis

Mathematics Subject Classification ID

Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items

New analytic solutions to 2D transient heat conduction problems with/without heat sources in the symplectic space ⋮ Solution of the one-phase inverse Stefan problem by using the homotopy analysis method

Cites Work

• On the explicit analytic solutions of an Oldroyd 6-constant fluid
• Homotopy analysis of MHD flows of an Oldroyd 8-constant fluid
• Approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution
• Investigation of a powerful analytical method into natural convection boundary layer flow
• The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery-Hamel flow
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• A new branch of solutions of boundary-layer flows over an impermeable stretched plate
• Solution for non-Fourier dual phase lag heat conduction in a semiinfinite slab with surface heat flux
• Couette and Poiseuille flows of an Oldroyd 6-constant fluid with magnetic field
• Homotopy solutions for a generalized second-grade fluid past a porous plate
• Series Solutions of Unsteady Boundary‐Layer Flows over a Stretching Flat Plate

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