Finite Difference Method for Two-Dimensional Fractional Partial Differential Equation with parameter
In this paper, we introduce and discuss an algorithm for the numerical solution of two- dimensional fractional partial differential equation with parameter. The algorithm for the numerical solution of this equation is based on implicit and an explicit difference method. Finally, numerical example...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2017-05-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
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| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/756 |
| _version_ | 1811309429701738496 |
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| author | I. I. Gorial |
| author_facet | I. I. Gorial |
| author_sort | I. I. Gorial |
| collection | DOAJ |
| description |
In this paper, we introduce and discuss an algorithm for the numerical solution of two- dimensional fractional partial differential equation with parameter. The algorithm for the numerical solution of this equation is based on implicit and an explicit difference method. Finally, numerical example is provided to illustrate that the numerical method for solving this equation is an effective solution method.
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| first_indexed | 2024-04-13T09:41:55Z |
| format | Article |
| id | doaj.art-6a3259c1d12e4cac885da6379dac8e58 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-04-13T09:41:55Z |
| publishDate | 2017-05-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-6a3259c1d12e4cac885da6379dac8e582022-12-22T02:51:54ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072017-05-01242Finite Difference Method for Two-Dimensional Fractional Partial Differential Equation with parameterI. I. Gorial In this paper, we introduce and discuss an algorithm for the numerical solution of two- dimensional fractional partial differential equation with parameter. The algorithm for the numerical solution of this equation is based on implicit and an explicit difference method. Finally, numerical example is provided to illustrate that the numerical method for solving this equation is an effective solution method. https://jih.uobaghdad.edu.iq/index.php/j/article/view/756Fractional derivative, two finite difference methods, fractional partial differential equation. |
| spellingShingle | I. I. Gorial Finite Difference Method for Two-Dimensional Fractional Partial Differential Equation with parameter Ibn Al-Haitham Journal for Pure and Applied Sciences Fractional derivative, two finite difference methods, fractional partial differential equation. |
| title | Finite Difference Method for Two-Dimensional Fractional Partial Differential Equation with parameter |
| title_full | Finite Difference Method for Two-Dimensional Fractional Partial Differential Equation with parameter |
| title_fullStr | Finite Difference Method for Two-Dimensional Fractional Partial Differential Equation with parameter |
| title_full_unstemmed | Finite Difference Method for Two-Dimensional Fractional Partial Differential Equation with parameter |
| title_short | Finite Difference Method for Two-Dimensional Fractional Partial Differential Equation with parameter |
| title_sort | finite difference method for two dimensional fractional partial differential equation with parameter |
| topic | Fractional derivative, two finite difference methods, fractional partial differential equation. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/756 |
| work_keys_str_mv | AT iigorial finitedifferencemethodfortwodimensionalfractionalpartialdifferentialequationwithparameter |