The application of homotopy analysis method to solve nonlinear differential equation governing Jeffery-Hamel flow

DOI10.1016/j.cnsns.2007.07.009zbMath1221.76056OpenAlexW2073600235WikidataQ115358788 ScholiaQ115358788MaRDI QIDQ718815

M. Famouri, A. Mohsenzadeh, Davood Domairry Ganji

Publication date: 24 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2007.07.009

zbMATH Keywords

nonlinear ordinary differential equationshomotopy analysis method (HAM)Hamel flowsJeffery

Mathematics Subject Classification ID

Related Items (28)

Fixed-term homotopy ⋮ Numerical treatment of nonlinear MHD Jeffery-Hamel problems using stochastic algorithms ⋮ Analytical solution for van der Pol-Duffing oscillators ⋮ A new approach for the solution of three-dimensional magnetohydrodynamic rotating flow over a shrinking sheet ⋮ Highly accurate Coiflet wavelet-homotopy solution of Jeffery–Hamel problem at extreme parameters ⋮ Exact analytical solution of the MHD Jeffery-Hamel flow problem ⋮ On spectral homotopy analysis method for solving linear Volterra and Fredholm integrodifferential equations ⋮ A note on improved homotopy analysis method for solving the Jeffery-Hamel flow ⋮ Three weighted residual methods based on Jeffery-Hamel flow ⋮ A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem ⋮ An approximation of the analytical solution of the Jeffery-Hamel flow by decomposition method ⋮ On the analytical solution of viscous fluid flow past a flat plate ⋮ Homotopy analysis method for predicting multiple solutions in the channel flow with stability analysis ⋮ A new spectral-homotopy perturbation method and its application to Jeffery-Hamel nanofluid flow with high magnetic field ⋮ Analytical solution for large deflections of a cantilever beam under nonconservative load based on homotopy analysis method ⋮ Modelling and simulation of a packed bed of pulp fibers using mixed collocation method ⋮ On a new analytical method for flow between two inclined walls ⋮ Investigation of a powerful analytical method into natural convection boundary layer flow ⋮ Homotopy analysis method for solving the MHD flow over a non-linear stretching sheet ⋮ On the selection of auxiliary functions, operators, and convergence control parameters in the application of the homotopy analysis method to nonlinear differential equations: a general approach ⋮ Effect of heat transfer on the flow of a second-grade fluid in divergent/convergent channel ⋮ Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in porous media prescribed surface heat flux ⋮ On the existence of multiple solutions of a class of third-order nonlinear two-point boundary value problems ⋮ Generalized homotopy method for solving nonlinear differential equations ⋮ An analytical study of boundary layer flows on a continuous stretching surface ⋮ Application of homotopy perturbation method in inverse analysis of Jeffery-Hamel flow problem ⋮ Consideration of transient heat conduction in a semi-infinite medium using homotopy analysis method ⋮ An approximation of the analytic solution of some nonlinear heat transfer in fin and 3D diffusion equations using HAM

Uses Software

• Matlab

Cites Work

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