The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer

By D. Domiri Ganji. 2006

569 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Mechanical Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/1e09271ee07af3fb116748d36c8beb19a78e7950

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In Biomedical Engineering

In Mechanical Engineering

In Modeling and Simulation

Citations in the corpus

A least squares method for a longitudinal fin with temperature dependent internal heat generation and thermal conductivity (2011, background): “A number of recent papers [6–16] have used the homotopy methods to solve nonlinear problems in dynamics, fluid flow and heat transfer.”
The combined Laplace transform and new homotopy perturbation methods for stiff systems of ODEs (2012, methodology): “For example, it was applied to nonlinear Schrödinger equations [10], to nonlinear equations arising in heat transfer [11], to the quadratic Riccati differential equation [12], and to other equations [13–17].”
Homotopy Analysis Sumudu Transform Method for Nonlinear Equations (2012, unknown): “[3,6,7,11,14,18,40], homotopy analysis method (HAM) [6,7,12,23,25,26,27,28,29,33], variational iteration method (VIM) [6,7,15,16,17,19], Laplace decomposition method (LDM) [20,24,37,41], homotopy perturbation transform method (HPTM) [22], homotopy perturbation sumudu transform method (HPSTM) [34] an”
Homotopy Perturbation Method for Systems of Partial Differential Equations (2007, methodology): “Recently a great deal of interest has been focused on the applications of the homotopy perturbation method, well addressed in [6-14], In this method the solution is considered as the summation of an infinite series which usually converges rapidly to the exact solutions.”
He's homotopy perturbation method for solving systems of Volterra integral equations of the second kind (2009, unknown): “Introduction The Topic of the He’s homotopy perturbation method [1–6] has been rapidly growing in recent years [7–23].”
Application of Variational Iteration and Homotopy-Perturbation Methods to Nonlinear Heat Transfer Equations with Variable Coefficients (2007, methodology): “One of the recently presented researches is on using the HPM in heat transfer [21, 22].”