Application of He's variational iteration method for solving nonlinear BBMB equations and free vibration of systems

DOI10.1007/s10440-008-9303-6zbMath1166.65389OpenAlexW1983841827MaRDI QIDQ1027800

J. Blot

Publication date: 30 June 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9303-6

zbMATH Keywords

homotopy analysis methodHe's variational iteration methodnonlinear free vibrationmotion equationBenjamin-Bona-Mahony-Burgers (BBMB) equationsserial linear and nonlinear stiffness

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Free motions in linear vibration theory (70J30)

Related Items (7)

Analytical investigation of Jeffery-Hamel flow with high magnetic field and nanoparticle by adomian decomposition method ⋮ Non-polynomial spline method for one dimensional nonlinear Benjamin-Bona-Mahony-Burgers equation ⋮ Kernel smoothing method for the numerical approximation of Benjamin-Bona-Mahony-Burgers' equation ⋮ Exponential Spline Method for One Dimensional Nonlinear Benjamin-Bona-Mahony-Burgers Equation ⋮ Galerkin finite element solution for Benjamin-Bona-Mahony-Burgers equation with cubic B-splines ⋮ Approximate traveling wave solution for shallow water wave equation ⋮ Finite element method of BBM-Burgers equation with dissipative term based on adaptive moving mesh

Cites Work

• Unnamed Item
• Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method
• Maintaining the stability of nonlinear differential equations by the enhancement of HPM
• Approximate explicit solutions of nonlinear BBMB equations by homotopy analysis method and comparison with the exact solution
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Variational iteration method: New development and applications
• Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
• Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
• Application of homotopy-perturbation and variational iteration methods to nonlinear heat transfer and porous media equations
• Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM
• A review of the decomposition method in applied mathematics
• Solving frontier problems of physics: the decomposition 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
• Exact and numerical traveling wave solutions of Whitham-Broer-Kaup equations
• Variational methods and applications to water waves
• Variational iteration method for autonomous ordinary differential systems
• Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations

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