Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares Method
The paper presents a new method, called the Polynomial Least Squares Method (PLSM). PLSM allows us to compute approximate analytical solutions for the Brusselator system, which is a fractional-order system of nonlinear differential equations.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/450235 |
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| _version_ | 1832555541372600320 |
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| author | Constantin Bota Bogdan Căruntu |
| author_facet | Constantin Bota Bogdan Căruntu |
| author_sort | Constantin Bota |
| collection | DOAJ |
| description | The paper presents a new method, called the Polynomial Least Squares Method (PLSM).
PLSM allows us to compute approximate analytical solutions for the Brusselator system,
which is a fractional-order system of nonlinear differential equations. |
| format | Article |
| id | doaj-art-7687ace420c149808b640067ce92018c |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7687ace420c149808b640067ce92018c2025-02-03T05:47:55ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/450235450235Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares MethodConstantin Bota0Bogdan Căruntu1Department of Mathematics, “Politehnica” University of Timişoara, Piața Victoriei 2, 300006 Timişoara, RomaniaDepartment of Mathematics, “Politehnica” University of Timişoara, Piața Victoriei 2, 300006 Timişoara, RomaniaThe paper presents a new method, called the Polynomial Least Squares Method (PLSM). PLSM allows us to compute approximate analytical solutions for the Brusselator system, which is a fractional-order system of nonlinear differential equations.http://dx.doi.org/10.1155/2015/450235 |
| spellingShingle | Constantin Bota Bogdan Căruntu Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares Method Advances in Mathematical Physics |
| title | Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares Method |
| title_full | Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares Method |
| title_fullStr | Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares Method |
| title_full_unstemmed | Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares Method |
| title_short | Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares Method |
| title_sort | approximate analytical solutions of the fractional order brusselator system using the polynomial least squares method |
| url | http://dx.doi.org/10.1155/2015/450235 |
| work_keys_str_mv | AT constantinbota approximateanalyticalsolutionsofthefractionalorderbrusselatorsystemusingthepolynomialleastsquaresmethod AT bogdancaruntu approximateanalyticalsolutionsofthefractionalorderbrusselatorsystemusingthepolynomialleastsquaresmethod |