Variational iteration method for autonomous ordinary differential systems
Applied Mathematics and Computation
The modified decomposition method applied to unsteady flow of gas through a porous medium
Applied Mathematics and Computation
Variational iteration method-Some recent results and new interpretations
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Periodic solutions for some strongly nonlinear oscillations by He's variational iteration method
Computers & Mathematics with Applications
Variational iteration method: New development and applications
Computers & Mathematics with Applications
The variational iteration method for solving linear and nonlinear systems of PDEs
Computers & Mathematics with Applications
Computers & Mathematics with Applications
He's variational iteration method for fourth-order parabolic equations
Computers & Mathematics with Applications
He's homotopy perturbation method for a boundary layer equation in unbounded domain
Computers & Mathematics with Applications
Variational iteration method for solving integral equations
Computers & Mathematics with Applications
An efficient method for fourth-order boundary value problems
Computers & Mathematics with Applications
Solutions of non-linear oscillators by the modified differential transform method
Computers & Mathematics with Applications
Homotopy perturbation method for solving sixth-order boundary value problems
Computers & Mathematics with Applications
An efficient algorithm for solving fifth-order boundary value problems
Mathematical and Computer Modelling: An International Journal
Computers & Mathematics with Applications
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In this paper, we apply the variational iteration method using He's polynomials for finding the analytical solution of unsteady flow of gas through a porous medium. The proposed method is an elegant combination of He's variational iteration and the homotopy perturbation methods. The suggested algorithm is quite efficient and is practically well suited for use in such problems. The proposed iterative scheme finds the solution without any discretization, linearization or restrictive assumptions. The diagonal Pade approximants are effectively used in the analysis to capture the essential behavior of the solution and to determine the initial slope. A clear advantage of this technique over the decomposition method is that no calculation of Adomian's polynomials is needed.