Extracting a general iterative method from an Adomian decomposition method and comparing it to the variational iteration method
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Publication:980252
DOI10.1016/j.camwa.2009.11.001zbMath1189.65245OpenAlexW2007380962MaRDI QIDQ980252
Jafar Biazar, M. Gholami Porshokuhi, Behzad Ghanbari
Publication date: 28 June 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2009.11.001
Adomian decomposition methodAdomian polynomialsthe variational iteration methodlinear and nonlinear operators
Related Items (11)
On solutions of fuzzy fractional order complex population dynamical model ⋮ Generalisation of the Lagrange multipliers for variational iterations applied to systems of differential equations ⋮ Approximate analytical solutions using hyperbolic functions for the generalized Blasius problem ⋮ Homotopy perturbation transform method for nonlinear equations using He's polynomials ⋮ Constructing uniform approximate analytical solutions for the Blasius problem ⋮ Nonlinear Oscillations Analysis of the Elevator Cable in a Drum Drive Elevator System ⋮ Computational analysis of complex population dynamical model with arbitrary order ⋮ Solutions of Volterra integral and integro-differential equations using modified Laplace Adomian decomposition method ⋮ New approximate analytical solutions of the Falkner-Skan equation ⋮ He-Laplace method for linear and nonlinear partial differential equations ⋮ Homotopy Perturbation Algorithm Using Laplace Transform for Gas Dynamics Equation
Cites Work
- Variational iteration method for solving Burgers and coupled Burgers equations
- Adomian decomposition method for Burgers--Huxley and Burgers--Fisher equations
- Application of He's variational iteration method to Helmholtz equation
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- He's variational iteration method for fourth-order parabolic equations
- Exp-function method for nonlinear wave equations
- The variational iteration method for rational solutions for KdV, \(K(2,2)\), Burgers, and cubic Boussinesq equations
- On the convergence of He's variational iteration method
- A comparison between the variational iteration method and Adomian decomposition method
- Solution of a model describing biological species living together using the variational iteration method
- A review of the decomposition method in applied mathematics
- Variational iteration method for delay differential equations
- Solving frontier problems of physics: the decomposition method
- Solution of wave equation by Adomian decomposition method and the restrictions of the method.
- A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
- An approximation to the solution of hyperbolic equations by Adomian decomposition method and comparison with characteristics method
- On the order of convergence of Adomian method.
- The variational iteration method for solving two forms of Blasius equation on a half-infinite domain
- Adomian decomposition method for a reliable treatment of the Bratu-type equations
- New periodic solutions for nonlinear evolution equations using Exp-function method
- Solution of systems of integral-differential equations by Adomian decomposition method
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- A new approach to nonlinear partial differential equations
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