A study on unsteady flow of gas through a porous medium
In this paper, we apply and compare the iterative method for finding the analytical solution of unsteady flow of gas through a porous medium. The suggested algorithm is quite efficient and is practically well suited for use in such problems. The proposed iterative scheme finds the solution withou...
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| Format: | Article |
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Penerbit ukm
2008
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| Online Access: | http://journalarticle.ukm.my/1861/ http://journalarticle.ukm.my/1861/ |
| Summary: | In this paper, we apply and compare the iterative method for finding the analytical solution of
unsteady flow of gas through a porous medium. 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 perturbation, discretization, linearization or restrictive assumptions. The
diagonal Pade approximants are effectively used in the analysis to capture the essential
behavior of y(x) and to determine the initial slope y'(0). The fact that the iterative method
solves nonlinear problems without using Adomian’s polynomials is a clear advantage of this
technique over the decomposition method |
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