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...
| Main Authors: | , |
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| Format: | Article |
| Published: |
Penerbit ukm
2008
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| Online Access: | http://journalarticle.ukm.my/1861/ |
| _version_ | 1848809678377582592 |
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| author | Muhammad Aslam Noor, Syed Tauseef Mohyud-Din , |
| author_facet | Muhammad Aslam Noor, Syed Tauseef Mohyud-Din , |
| author_sort | Muhammad Aslam Noor, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | 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 |
| first_indexed | 2025-11-14T23:18:26Z |
| format | Article |
| id | ukm-1861 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T23:18:26Z |
| publishDate | 2008 |
| publisher | Penerbit ukm |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ukm-18612011-06-15T07:00:14Z http://journalarticle.ukm.my/1861/ A study on unsteady flow of gas through a porous medium Muhammad Aslam Noor, Syed Tauseef Mohyud-Din , 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 Penerbit ukm 2008-07 Article PeerReviewed Muhammad Aslam Noor, and Syed Tauseef Mohyud-Din , (2008) A study on unsteady flow of gas through a porous medium. Journal of Quality Measurement and Analysis, 4 (1). pp. 131-140. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html |
| spellingShingle | Muhammad Aslam Noor, Syed Tauseef Mohyud-Din , A study on unsteady flow of gas through a porous medium |
| title | A study on unsteady flow of gas through
a porous medium
|
| title_full | A study on unsteady flow of gas through
a porous medium
|
| title_fullStr | A study on unsteady flow of gas through
a porous medium
|
| title_full_unstemmed | A study on unsteady flow of gas through
a porous medium
|
| title_short | A study on unsteady flow of gas through
a porous medium
|
| title_sort | study on unsteady flow of gas through
a porous medium |
| url | http://journalarticle.ukm.my/1861/ http://journalarticle.ukm.my/1861/ |