Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type
In this work, a general class of multi-order fractional differential equations of Lane-Emden type is considered. Here, an assumed approximate solution is substituted into a slightly perturbed form of the general class and the resulting equation is collocated at equally spaced interior points to give...
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| Format: | Article |
| Language: | English |
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Nigerian Society of Physical Sciences
2020-08-01
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| Series: | Journal of Nigerian Society of Physical Sciences |
| Subjects: | |
| Online Access: | https://journal.nsps.org.ng/index.php/jnsps/article/view/69 |
| _version_ | 1828219417925779456 |
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| author | O. A. Uwaheren A. F. Adebisi O. A. Taiwo |
| author_facet | O. A. Uwaheren A. F. Adebisi O. A. Taiwo |
| author_sort | O. A. Uwaheren |
| collection | DOAJ |
| description | In this work, a general class of multi-order fractional differential equations of Lane-Emden type is considered. Here, an assumed approximate solution is substituted into a slightly perturbed form of the general class and the resulting equation is collocated at equally spaced interior points to give a system of linear algebraic equations which are then solved by suitable computer software; Maple 18. |
| first_indexed | 2024-04-12T16:15:32Z |
| format | Article |
| id | doaj.art-8ab877c2e9774ef9a51c33206b7ead06 |
| institution | Directory Open Access Journal |
| issn | 2714-2817 2714-4704 |
| language | English |
| last_indexed | 2024-04-12T16:15:32Z |
| publishDate | 2020-08-01 |
| publisher | Nigerian Society of Physical Sciences |
| record_format | Article |
| series | Journal of Nigerian Society of Physical Sciences |
| spelling | doaj.art-8ab877c2e9774ef9a51c33206b7ead062022-12-22T03:25:44ZengNigerian Society of Physical SciencesJournal of Nigerian Society of Physical Sciences2714-28172714-47042020-08-012310.46481/jnsps.2020.69Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden TypeO. A. Uwaheren0A. F. Adebisi1O. A. Taiwo2Department of Mathematics, University of Ilorin, Ilorin, NigeriaDepartment of Mathematics, Osun State University, Oshogbo, Nigeria.Department of Mathematics, University of Ilorin, Nigeria.In this work, a general class of multi-order fractional differential equations of Lane-Emden type is considered. Here, an assumed approximate solution is substituted into a slightly perturbed form of the general class and the resulting equation is collocated at equally spaced interior points to give a system of linear algebraic equations which are then solved by suitable computer software; Maple 18.https://journal.nsps.org.ng/index.php/jnsps/article/view/69Perturbed Colocation MethodLegendre polynomialSingular multi-order differential equationsLane-Emden equations |
| spellingShingle | O. A. Uwaheren A. F. Adebisi O. A. Taiwo Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type Journal of Nigerian Society of Physical Sciences Perturbed Colocation Method Legendre polynomial Singular multi-order differential equations Lane-Emden equations |
| title | Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type |
| title_full | Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type |
| title_fullStr | Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type |
| title_full_unstemmed | Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type |
| title_short | Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type |
| title_sort | perturbed collocation method for solving singular multi order fractional differential equations of lane emden type |
| topic | Perturbed Colocation Method Legendre polynomial Singular multi-order differential equations Lane-Emden equations |
| url | https://journal.nsps.org.ng/index.php/jnsps/article/view/69 |
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