Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs
The present study investigates the Haar-Sinc collocation method for the solution of the hyperbolic partial telegraph equations. The advantages of this technique are that not only is the convergence rate of Sinc approximation exponential but the computational speed also is high due to the use of the...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/340752 |
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| author | A. Pirkhedri H. H. S. Javadi H. R. Navidi |
| author_facet | A. Pirkhedri H. H. S. Javadi H. R. Navidi |
| author_sort | A. Pirkhedri |
| collection | DOAJ |
| description | The present study investigates the Haar-Sinc collocation method for the solution of the hyperbolic partial telegraph equations. The advantages of this technique are that not only is the convergence rate of Sinc approximation exponential but the computational speed also is high due to the use of the Haar operational matrices. This technique is used to convert the problem to the solution of linear algebraic equations via expanding the required approximation based on the elements of Sinc functions in space and Haar functions in time with unknown coefficients. To analyze the efficiency, precision, and performance of the proposed method, we presented four examples through which our claim was confirmed. |
| format | Article |
| id | doaj-art-ef46a02c76b940bdba527b1052d4fc97 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ef46a02c76b940bdba527b1052d4fc972025-02-03T06:00:25ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/340752340752Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEsA. Pirkhedri0H. H. S. Javadi1H. R. Navidi2Department of Computer Engineering, Islamic Azad University, Science and Research Branch, Tehran, IranDepartment of Applied Mathematics, Faculty of Mathematics and Computer Science, Shahed University, Tehran, IranDepartment of Applied Mathematics, Faculty of Mathematics and Computer Science, Shahed University, Tehran, IranThe present study investigates the Haar-Sinc collocation method for the solution of the hyperbolic partial telegraph equations. The advantages of this technique are that not only is the convergence rate of Sinc approximation exponential but the computational speed also is high due to the use of the Haar operational matrices. This technique is used to convert the problem to the solution of linear algebraic equations via expanding the required approximation based on the elements of Sinc functions in space and Haar functions in time with unknown coefficients. To analyze the efficiency, precision, and performance of the proposed method, we presented four examples through which our claim was confirmed.http://dx.doi.org/10.1155/2014/340752 |
| spellingShingle | A. Pirkhedri H. H. S. Javadi H. R. Navidi Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs The Scientific World Journal |
| title | Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs |
| title_full | Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs |
| title_fullStr | Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs |
| title_full_unstemmed | Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs |
| title_short | Numerical Algorithm Based on Haar-Sinc Collocation Method for Solving the Hyperbolic PDEs |
| title_sort | numerical algorithm based on haar sinc collocation method for solving the hyperbolic pdes |
| url | http://dx.doi.org/10.1155/2014/340752 |
| work_keys_str_mv | AT apirkhedri numericalalgorithmbasedonhaarsinccollocationmethodforsolvingthehyperbolicpdes AT hhsjavadi numericalalgorithmbasedonhaarsinccollocationmethodforsolvingthehyperbolicpdes AT hrnavidi numericalalgorithmbasedonhaarsinccollocationmethodforsolvingthehyperbolicpdes |