Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations
The aim of this paper isto approximate the solution offractionalparabolicpartial differential equations using two numerical methods which areBellman's method (make use of Lagrange interpolation formula) and the methodof lines. Fractional Parabolic partial differential equations are transformed...
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| Format: | Article |
| Language: | English |
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Unviversity of Technology- Iraq
2010-06-01
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| Series: | Engineering and Technology Journal |
| Subjects: | |
| Online Access: | https://etj.uotechnology.edu.iq/article_27711_341c8b54be053cd19c05e3b272a69d62.pdf |
| _version_ | 1797325357352747008 |
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| author | Akram A. Al-Sabbagh Ibtisam K.Hanan Osama H.Mohammed |
| author_facet | Akram A. Al-Sabbagh Ibtisam K.Hanan Osama H.Mohammed |
| author_sort | Akram A. Al-Sabbagh |
| collection | DOAJ |
| description | The aim of this paper isto approximate the solution offractionalparabolicpartial differential equations using two numerical methods which areBellman's method (make use of Lagrange interpolation formula) and the methodof lines. Fractional Parabolic partial differential equations are transformed to asystem of first order ordinary differential equations that are solved using a Runge-Kutta method. An illustrative example using thesemethodsare also presented andcompared with the exact solution. |
| first_indexed | 2024-03-08T06:08:22Z |
| format | Article |
| id | doaj.art-39255a18483242aca0e0c7a09b55db51 |
| institution | Directory Open Access Journal |
| issn | 1681-6900 2412-0758 |
| language | English |
| last_indexed | 2024-03-08T06:08:22Z |
| publishDate | 2010-06-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| series | Engineering and Technology Journal |
| spelling | doaj.art-39255a18483242aca0e0c7a09b55db512024-02-04T17:45:48ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582010-06-0128122480248510.30684/etj.28.12.1727711Some Numerical Methods For Solving Fractional Parabolic Partial Differential EquationsAkram A. Al-SabbaghIbtisam K.HananOsama H.MohammedThe aim of this paper isto approximate the solution offractionalparabolicpartial differential equations using two numerical methods which areBellman's method (make use of Lagrange interpolation formula) and the methodof lines. Fractional Parabolic partial differential equations are transformed to asystem of first order ordinary differential equations that are solved using a Runge-Kutta method. An illustrative example using thesemethodsare also presented andcompared with the exact solution.https://etj.uotechnology.edu.iq/article_27711_341c8b54be053cd19c05e3b272a69d62.pdfbellmanmethod of linesrungekutta methods |
| spellingShingle | Akram A. Al-Sabbagh Ibtisam K.Hanan Osama H.Mohammed Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations Engineering and Technology Journal bellman method of lines runge kutta methods |
| title | Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations |
| title_full | Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations |
| title_fullStr | Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations |
| title_full_unstemmed | Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations |
| title_short | Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations |
| title_sort | some numerical methods for solving fractional parabolic partial differential equations |
| topic | bellman method of lines runge kutta methods |
| url | https://etj.uotechnology.edu.iq/article_27711_341c8b54be053cd19c05e3b272a69d62.pdf |
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