Assessment of two analytical approaches in some nonlinear problems arising in engineering sciences

DOI10.1016/j.physleta.2008.04.004zbMath1221.65125OpenAlexW2072442263MaRDI QIDQ716839

I. Khatami, A. Sadighi, Davood Domairry Ganji

Publication date: 27 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.04.004

zbMATH Keywords

variational iteration methodhomotopy perturbation methodcoupled Burgers equationsgood Boussinesq equationnonlinear heat transfer equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Variational principles of physics (49S05) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (8)

Differential transform method with complex transforms to some nonlinear fractional problems in mathematical physics ⋮ NUMERICAL APPROACHES TO TIME FRACTIONAL BOUSSINESQ–BURGERS EQUATIONS ⋮ Similarity reduction and explicit solutions for the variable-coefficient coupled Burger's equations ⋮ Differential transform method for solving linear and non-linear systems of partial differential equations ⋮ Solving evolution equations using a new iterative method ⋮ A study on nonlinear wet fin problem using homotopy analysis method ⋮ An approximation of the analytic solution of some nonlinear heat transfer in fin and 3D diffusion equations using HAM ⋮ Asymptotical time response of time varying state space dynamic using homotopy perturbation method

Cites Work

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