New applications of variational iteration method using Adomian polynomials
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Publication:840409
DOI10.1007/s11071-007-9256-8zbMath1170.76356OpenAlexW1983481031MaRDI QIDQ840409
Publication date: 11 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-007-9256-8
Adomian decomposition methodAdomian polynomialsHe's variational iteration methodnonlinear physical model
Diffusion (76R50) Variational methods applied to problems in fluid mechanics (76M30) Reaction effects in flows (76V05)
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Cites Work
- Variational iteration method for solving Burgers and coupled Burgers equations
- On the variational iteration method
- Variational iteration method -- a kind of non-linear analytical technique: Some examples
- Variational iteration method -- some recent results and new interpretations
- Numerical solutions of nonlinear evolution equations using variational iteration method
- A comparison between the variational iteration method and Adomian decomposition method
- Solving frontier problems of physics: the decomposition method
- An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
- Variational principles for some nonlinear partial differential equations with variable coefficients
- Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method
- Application of variational iteration method to nonlinear differential equations of fractional order
- Blow-up for solutions of some linear wave equations with mixed nonlinear boundary conditions
- Numerical comparison of methods for solving linear differential equations of fractional order
- Nonlinear fluid flows in pipe-like domain problem using variational-iteration method
- Variational iteration method for one-dimensional nonlinear thermoelasticity
- Construction of solitary solution and compacton-like solution by variational iteration method
- The solution of nonlinear coagulation problem with mass loss
- Stochastic contaminant transport equation in porous media
- New applications of variational iteration method
- Two-dimensional differential transform method, Adomian's decomposition method, and variational iteration method for partial differential equations
- The Numerical Solution of Special Fourth-Order Boundary Value Problems by the Modified Decomposition Method
- Decomposition method for solving a system of coupled fractional-time nonlinear equations
- SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
- An Approximate Solution for One-Dimensional Weakly Nonlinear Oscillations