Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series
Taylor series is applied to treat two types of higher order linear integro-ordinary differential equations: linear Fredholm and Volterra integro-ordinary differential. In this technique Taylor series is substituted for the unknown function after differentiating both sides of linear integro-ordinary...
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University of Baghdad, College of Science for Women
2004-12-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/11862 |
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| author | Muna M. Mustafa |
| author_facet | Muna M. Mustafa |
| author_sort | Muna M. Mustafa |
| collection | DOAJ |
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Taylor series is applied to treat two types of higher order linear integro-ordinary differential equations: linear Fredholm and Volterra integro-ordinary differential. In this technique Taylor series is substituted for the unknown function after differentiating both sides of linear integro-ordinary differential equation with respect to x. The required derivatives and the involved integrals have been approximated using central differences and quadrature rules respectively. The resulting algebraic equations are solved by Gauss elimination technique. Program is written in MATLAB language and examples are presented to illustrate the results of this method.
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| format | Article |
| id | doaj-art-2a91dddffc3d4a6ab0353bf68a6a3cc2 |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2004-12-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-2a91dddffc3d4a6ab0353bf68a6a3cc22025-08-20T03:33:10ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862004-12-011210.21123/bsj.2004.11862Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor SeriesMuna M. Mustafa Taylor series is applied to treat two types of higher order linear integro-ordinary differential equations: linear Fredholm and Volterra integro-ordinary differential. In this technique Taylor series is substituted for the unknown function after differentiating both sides of linear integro-ordinary differential equation with respect to x. The required derivatives and the involved integrals have been approximated using central differences and quadrature rules respectively. The resulting algebraic equations are solved by Gauss elimination technique. Program is written in MATLAB language and examples are presented to illustrate the results of this method. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/11862- |
| spellingShingle | Muna M. Mustafa Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series مجلة بغداد للعلوم - |
| title | Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series |
| title_full | Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series |
| title_fullStr | Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series |
| title_full_unstemmed | Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series |
| title_short | Numerical Solution of Linear integro-ordinary Differential Equations Using Taylor Series |
| title_sort | numerical solution of linear integro ordinary differential equations using taylor series |
| topic | - |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/11862 |
| work_keys_str_mv | AT munammustafa numericalsolutionoflinearintegroordinarydifferentialequationsusingtaylorseries |