Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks
This paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks. This method uses a special combination between logarithmic and multiquadric radial basis functions with a pa...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/286391 |
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| _version_ | 1832562888822226944 |
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| author | Mohammad Mehdi Mazarei Azim Aminataei |
| author_facet | Mohammad Mehdi Mazarei Azim Aminataei |
| author_sort | Mohammad Mehdi Mazarei |
| collection | DOAJ |
| description | This paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks. This method uses a special combination between logarithmic and multiquadric radial basis functions with a parameter r. Further, the condition number which arises in the process is discussed, and a comparison is made between them with our earlier studies and previously known ones. It is shown that the system is stable. |
| format | Article |
| id | doaj-art-8b7633ddfaa945ce825770bd1b4c7cd7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8b7633ddfaa945ce825770bd1b4c7cd72025-02-03T01:21:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/286391286391Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function NetworksMohammad Mehdi Mazarei0Azim Aminataei1Faculty of Engineering, Islamic Azad University, Bushehr Branch, P.O. Box 7519619555, Bushehr, IranDepartment of Mathematics, K. N. Toosi University of Technology, P.O. Box 15418-49611, Tehran, IranThis paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks. This method uses a special combination between logarithmic and multiquadric radial basis functions with a parameter r. Further, the condition number which arises in the process is discussed, and a comparison is made between them with our earlier studies and previously known ones. It is shown that the system is stable.http://dx.doi.org/10.1155/2012/286391 |
| spellingShingle | Mohammad Mehdi Mazarei Azim Aminataei Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks Journal of Applied Mathematics |
| title | Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks |
| title_full | Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks |
| title_fullStr | Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks |
| title_full_unstemmed | Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks |
| title_short | Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks |
| title_sort | numerical solution of poisson s equation using a combination of logarithmic and multiquadric radial basis function networks |
| url | http://dx.doi.org/10.1155/2012/286391 |
| work_keys_str_mv | AT mohammadmehdimazarei numericalsolutionofpoissonsequationusingacombinationoflogarithmicandmultiquadricradialbasisfunctionnetworks AT azimaminataei numericalsolutionofpoissonsequationusingacombinationoflogarithmicandmultiquadricradialbasisfunctionnetworks |