Application of He's homotopy perturbation and He's variational iteration methods for solution of Benney–Lin equation

DOI10.1080/00207160802524770zbMath1197.65158OpenAlexW1967357564MaRDI QIDQ5747726

E. M. M. Sadeghi, Mehdi Safari, Davood Domairry Ganji

Publication date: 14 September 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802524770

zbMATH Keywords

variational iteration methodhomotopy perturbation methodthe low regularity of the Benney-Lin equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Initial value problems for second-order parabolic systems (35K45)

Related Items (max. 100)

Residual power series method for solving time-space-fractional Benney-Lin equation arising in falling film problems ⋮ New numerical simulation for fractional Benney–Lin equation arising in falling film problems using two novel techniques ⋮ Approximate analytical solutions of fractional benney-lin equation by reduced differential transform method and the homotopy perturbation method ⋮ Jacobi spectral method for variable-order fractional Benney-Lin equation arising in falling film problems

Cites Work

• The application of He's variational iteration method to nonlinear equations arising in heat transfer
• Application of homotopy perturbation method to the RLW and generalized modified Boussinesq equations
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
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• Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method for bifurcation of nonlinear problems
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Approximate solution of nonlinear differential equations with convolution product nonlinearities
• 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
• On the low regularity of the Benney-Lin equation
• Limit cycle and bifurcation of nonlinear problems
• Application of homotopy perturbation method to nonlinear wave equations
• A generalized variational principle in micromorphic thermoelasticity
• Construction of solitary solution and compacton-like solution by variational iteration method
• Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations
• Finite amplitude side-band stability of a viscous film
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• Variational iteration method for autonomous ordinary differential systems

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