Prediction of a Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Different Methods
In the present study, the problem of nonlinear equations arising in a convective porous fin with a variable cross section is investigated using a Collocation Method (CM). The obtained results from this method are compared with the Homotopy Perturbation Method (HPM), Variation Iteration Method (VIM),...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Walailak University
2014-03-01
|
| Series: | Walailak Journal of Science and Technology |
| Subjects: | |
| Online Access: | http://wjst.wu.ac.th/index.php/wjst/article/view/960 |
| _version_ | 1818751177621241856 |
|---|---|
| author | Majid SHAHBABAEI Davood Domayri GANJI Iman RAHIMIPETROUDI |
| author_facet | Majid SHAHBABAEI Davood Domayri GANJI Iman RAHIMIPETROUDI |
| author_sort | Majid SHAHBABAEI |
| collection | DOAJ |
| description | In the present study, the problem of nonlinear equations arising in a convective porous fin with a variable cross section is investigated using a Collocation Method (CM). The obtained results from this method are compared with the Homotopy Perturbation Method (HPM), Variation Iteration Method (VIM), and those from a numerical solution, namely the Boundary Value Problem method (BVP), to verify the accuracy of the proposed method. It is found that the CM can achieve suitable results in predicting the solutions of such problems.
doi:10.14456/WJST.2015.48 |
| first_indexed | 2024-12-18T04:31:26Z |
| format | Article |
| id | doaj.art-0712c73566d941f684ed8be6d04b0493 |
| institution | Directory Open Access Journal |
| issn | 1686-3933 2228-835X |
| language | English |
| last_indexed | 2024-12-18T04:31:26Z |
| publishDate | 2014-03-01 |
| publisher | Walailak University |
| record_format | Article |
| series | Walailak Journal of Science and Technology |
| spelling | doaj.art-0712c73566d941f684ed8be6d04b04932022-12-21T21:20:57ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2014-03-01121010.2004/wjst.v11i12.960460Prediction of a Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Different MethodsMajid SHAHBABAEI0Davood Domayri GANJI1Iman RAHIMIPETROUDI2Department of Mechanical Engineering, Shirgah Branch, Azad University, ShirgahDepartment of Mechanical Engineering, Babol University of Technology, BabolYoung Researchers Club, Sari Branch, Islamic Azad University, SariIn the present study, the problem of nonlinear equations arising in a convective porous fin with a variable cross section is investigated using a Collocation Method (CM). The obtained results from this method are compared with the Homotopy Perturbation Method (HPM), Variation Iteration Method (VIM), and those from a numerical solution, namely the Boundary Value Problem method (BVP), to verify the accuracy of the proposed method. It is found that the CM can achieve suitable results in predicting the solutions of such problems. doi:10.14456/WJST.2015.48http://wjst.wu.ac.th/index.php/wjst/article/view/960Porous finvariable cross sectionCollocation MethodHomotopy Perturbation MethodVariation Iteration Method |
| spellingShingle | Majid SHAHBABAEI Davood Domayri GANJI Iman RAHIMIPETROUDI Prediction of a Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Different Methods Walailak Journal of Science and Technology Porous fin variable cross section Collocation Method Homotopy Perturbation Method Variation Iteration Method |
| title | Prediction of a Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Different Methods |
| title_full | Prediction of a Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Different Methods |
| title_fullStr | Prediction of a Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Different Methods |
| title_full_unstemmed | Prediction of a Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Different Methods |
| title_short | Prediction of a Semi-Exact Analytic Solution of a Convective Porous Fin with Variable Cross Section by Different Methods |
| title_sort | prediction of a semi exact analytic solution of a convective porous fin with variable cross section by different methods |
| topic | Porous fin variable cross section Collocation Method Homotopy Perturbation Method Variation Iteration Method |
| url | http://wjst.wu.ac.th/index.php/wjst/article/view/960 |
| work_keys_str_mv | AT majidshahbabaei predictionofasemiexactanalyticsolutionofaconvectiveporousfinwithvariablecrosssectionbydifferentmethods AT davooddomayriganji predictionofasemiexactanalyticsolutionofaconvectiveporousfinwithvariablecrosssectionbydifferentmethods AT imanrahimipetroudi predictionofasemiexactanalyticsolutionofaconvectiveporousfinwithvariablecrosssectionbydifferentmethods |