Numerical study of homotopy-perturbation method applied to Burgers equation in fluid

DOI10.1002/num.20464zbMath1267.76082OpenAlexW2029012242WikidataQ115398469 ScholiaQ115398469MaRDI QIDQ3576822

Z. Z. Ganji, S. Karimpour, S. S. Ganji, Davood Domairry Ganji

Publication date: 3 August 2010

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20464

zbMATH Keywords

Burgers equationnonlinear equationshomotopy perturbation method (HPM)

Mathematics Subject Classification ID

Related Items (7)

Numeric solution of advection–diffusion equations by a discrete time random walk scheme ⋮ Application of homotopy perturbation and numerical methods to the circular porous slider ⋮ Analytical treatment of differential equations with fractional coordinate derivatives ⋮ Fractional variational iteration method for fractional initial-boundary value problems arising in the application of nonlinear science ⋮ Analysis of differential equations of fractional order ⋮ Approximate traveling wave solutions for coupled Whitham-Broer-Kaup shallow water ⋮ Series solution for heat transfer from a continuous surface in a parallel free stream of viscoelastic fluid

Cites Work

• Unnamed Item
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Variational iteration method: New development and applications
• Variational iteration method -- some recent results and new interpretations
• Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM
• Solving frontier problems of physics: the decomposition method
• On the homotopy analysis method for nonlinear problems.
• A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
• Two new applications of the homogeneous balance method
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method for bifurcation of nonlinear problems
• Homotopy perturbation method: a new nonlinear analytical technique
• Homotopy perturbation method for solving boundary value problems
• Homotopy perturbation technique
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• Variational approach for nonlinear oscillators
• Jacobi elliptic function solutions of the (1 + 1)-dimensional dispersive long wave equation by Homotopy Perturbation Method
• The homotopy analysis method for explicit analytical solutions of Jaulent-Miodek equations
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• A new approach to nonlinear partial differential equations
• Variational iteration method for autonomous ordinary differential systems

This page was built for publication: Numerical study of homotopy-perturbation method applied to Burgers equation in fluid