Comparison of three semi-analytical methods for solving \((1+1)\)-dimensional dispersive long wave equations
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Publication:552303
DOI10.1016/j.camwa.2010.12.026zbMath1217.65197OpenAlexW2048931639MaRDI QIDQ552303
Yavuz Ugurlu, Ibrahim E. Inan, Doǧan Kaya
Publication date: 21 July 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.12.026
Adomian's decomposition methodseries solutionshomotopy analysis methodhomotopy perturbation methodAdomian polynomials\((1+1)\)-dimensional dispersive long wave equationsemi-analytical methods
Cites Work
- Unnamed Item
- On numerical solution of Burgers' equation by homotopy analysis method
- Numerical simulation of the regularized long wave equation by He's homotopy perturbation method
- Solutions of time-dependent Emden-Fowler type equations by homotopy analysis method
- Comparison of homotopy analysis method and homotopy perturbation method through an evolution equation
- Comparison of homotopy analysis method and homotopy-perturbation method for purely nonlinear fin-type problems
- A comparison between two different methods for solving KdV-Burgers equation
- Soliton solutions for the fifth-order KdV equation with the homotopy analysis method
- The extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations
- A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations
- Bäcklund transformation, Lax pairs and explicit exact solutions for the shallow water waves equation
- Variational iteration method and homotopy perturbation method for nonlinear evolution equations
- The application of homotopy analysis method to nonlinear equations arising in heat transfer
- Numerical comparison of methods for solving a special fourth-order boundary value problem
- Comparison between Adomian's method and He's homotopy perturbation method
- Application of he's homotopy perturbation method for solving the Cauchy reaction-diffusion problem
- A review of the decomposition method in applied mathematics
- Painlevé expansions for nonintegrable evolution equations
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Solving frontier problems of physics: the decomposition method
- Two new applications of the homogeneous balance method
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- An approximate solution technique not depending on small parameters: A special example
- A simple transformation for nonlinear waves.
- Homotopy perturbation technique
- Derivation of the Adomian decomposition method using the homotopy analysis method
- A comparative study between two different methods for solving the general Korteweg-de Vries equation (GKdV)
- The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
- On solitary wave solutions for the two-dimensional nonlinear modified Kortweg-de Vries-Burger equation
- Comparison between the homotopy analysis method and homotopy perturbation method
- Extended tanh-function method and its applications to nonlinear equations
- Solitary wave solutions of nonlinear wave equations
- New similarity solutions for the modified Boussinesq equation
- On comparison of series and numerical solutions for second Painlevé equation
- Modified extended tanh-function method for solving nonlinear partial differential equations
- New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
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