Analytical solutions to heat transfer equations by homotopy-perturbation method revisited

DOI10.1016/j.physleta.2007.09.015zbMath1217.35089OpenAlexW1987146087MaRDI QIDQ552827

M. S. H. Chowdhury, Ishak Hashim

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.09.015

zbMATH Keywords

homotopy-perturbation methodfinsnonlinear bvps

Mathematics Subject Classification ID

Heat equation (35K05) Almost and pseudo-almost periodic solutions to PDEs (35B15)

Related Items (9)

The extended homotopy perturbation method and boundary layer flow due to condensation and natural convection on a porous vertical plate ⋮ On modified algorithm for fourth-grade fluid ⋮ Thermal analysis of some fin problems using improved iteration method ⋮ Analytical substrate flux approximation for the Monod boundary value problem ⋮ A numerical analysis to the non-linear fin problem ⋮ Prediction of multiplicity of solutions of nonlinear boundary value problems: novel application of homotopy analysis method ⋮ On the existence of multiple solutions of a class of third-order nonlinear two-point boundary value problems ⋮ Exact analytical solution of a nonlinear equation arising in heat transfer ⋮ A reaction–diffusion model of forest boundary with seed dynamics

Cites Work

• Adaptation of homotopy-perturbation method for numeric-analytic solution of system of ODEs
• Solutions of a class of singular second-order IVPs by homotopy-perturbation method
• Application of homotopy-perturbation method to nonlinear population dynamics models
• A decomposition solution for fins with temperature-dependent surface heat flux
• Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Application of He's homotopy perturbation method to Volterra's integro-differential equation
• Homotopy perturbation method for bifurcation of nonlinear problems
• He's homotopy perturbation method for calculating Adomian polynomials
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• An efficient algorithm for solving fifth-order boundary value problems
• Application of homotopy perturbation method to nonlinear wave equations
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS

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