Applicable Solution for a Class of Ordinary Differential Equations with Singularity
Boundary value problems arise in many real applications such as nanofluids and other areas of applied sciences. The temperature/nanoparticles concentration are usually expressed as singular 2ndorder ODEs. So, it is a challenge to obtain the exact solution of these problems due to the difficulty of t...
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| Format: | Article |
| Language: | English |
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Etamaths Publishing
2020-06-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2213 |
| _version_ | 1819116091881816064 |
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| author | N. Ameer Ahamad |
| author_facet | N. Ameer Ahamad |
| author_sort | N. Ameer Ahamad |
| collection | DOAJ |
| description | Boundary value problems arise in many real applications such as nanofluids and other areas of applied sciences. The temperature/nanoparticles concentration are usually expressed as singular 2ndorder ODEs. So, it is a challenge to obtain the exact solution of these problems due to the difficulty of the singularity encountered in the governing equations. By means of a suitable transformation, a direct approach is introduced to solve a general class of 2nd-order ODEs. The efficiency of the obtained results is validated through selected problems in the literature. It is found that several existing solutions can be deduced as special cases of our generalized one. Moreover, the present results may be invested for similar future problems in fluid mechanics, especially nanofluids. |
| first_indexed | 2024-12-22T05:11:35Z |
| format | Article |
| id | doaj.art-601c3365464948ab81e224942ff8407f |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-12-22T05:11:35Z |
| publishDate | 2020-06-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-601c3365464948ab81e224942ff8407f2022-12-21T18:37:57ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392020-06-01185890899486Applicable Solution for a Class of Ordinary Differential Equations with SingularityN. Ameer Ahamad0Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaBoundary value problems arise in many real applications such as nanofluids and other areas of applied sciences. The temperature/nanoparticles concentration are usually expressed as singular 2ndorder ODEs. So, it is a challenge to obtain the exact solution of these problems due to the difficulty of the singularity encountered in the governing equations. By means of a suitable transformation, a direct approach is introduced to solve a general class of 2nd-order ODEs. The efficiency of the obtained results is validated through selected problems in the literature. It is found that several existing solutions can be deduced as special cases of our generalized one. Moreover, the present results may be invested for similar future problems in fluid mechanics, especially nanofluids.http://etamaths.com/index.php/ijaa/article/view/2213 |
| spellingShingle | N. Ameer Ahamad Applicable Solution for a Class of Ordinary Differential Equations with Singularity International Journal of Analysis and Applications |
| title | Applicable Solution for a Class of Ordinary Differential Equations with Singularity |
| title_full | Applicable Solution for a Class of Ordinary Differential Equations with Singularity |
| title_fullStr | Applicable Solution for a Class of Ordinary Differential Equations with Singularity |
| title_full_unstemmed | Applicable Solution for a Class of Ordinary Differential Equations with Singularity |
| title_short | Applicable Solution for a Class of Ordinary Differential Equations with Singularity |
| title_sort | applicable solution for a class of ordinary differential equations with singularity |
| url | http://etamaths.com/index.php/ijaa/article/view/2213 |
| work_keys_str_mv | AT nameerahamad applicablesolutionforaclassofordinarydifferentialequationswithsingularity |