Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach
In this work, the Haar collocation scheme is used for the solution of the class of system of delay integral equations for heterogeneous data communication. The Haar functions are considered for the approximation of unknown function. By substituting collocation points and applying the Haar collocatio...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5805433 |
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| _version_ | 1832561498568785920 |
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| author | Hualing Wu Rohul Amin Asmatullah Khan Shah Nazir Sultan Ahmad |
| author_facet | Hualing Wu Rohul Amin Asmatullah Khan Shah Nazir Sultan Ahmad |
| author_sort | Hualing Wu |
| collection | DOAJ |
| description | In this work, the Haar collocation scheme is used for the solution of the class of system of delay integral equations for heterogeneous data communication. The Haar functions are considered for the approximation of unknown function. By substituting collocation points and applying the Haar collocation technique to system of delay integral equations, we have obtained a linear system of equations. For the solution of this system, an algorithm is developed in MATLAB software. The method of Gauss elimination is utilized for the solution of this system. Finally, by using these coefficients, the solution at collocation points is obtained. The convergence of Haar technique is checked on some test problems. |
| format | Article |
| id | doaj-art-6084a0ba94d14e8faf42c36f1ccb85ff |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-6084a0ba94d14e8faf42c36f1ccb85ff2025-02-03T01:24:47ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/58054335805433Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation ApproachHualing Wu0Rohul Amin1Asmatullah Khan2Shah Nazir3Sultan Ahmad4Shanghai Lixin University of Accounting and Finance, Shanghai 200120, ChinaDepartment of Mathematics, University of Peshawar, Peshawar 25120, PakistanDepartment of Mathematics, University of Peshawar, Peshawar 25120, PakistanDepartment of Computer Science, University of Swabi, Ambar 23430, PakistanDepartment of Computer Science, College of Computer Engineering and Sciences, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi ArabiaIn this work, the Haar collocation scheme is used for the solution of the class of system of delay integral equations for heterogeneous data communication. The Haar functions are considered for the approximation of unknown function. By substituting collocation points and applying the Haar collocation technique to system of delay integral equations, we have obtained a linear system of equations. For the solution of this system, an algorithm is developed in MATLAB software. The method of Gauss elimination is utilized for the solution of this system. Finally, by using these coefficients, the solution at collocation points is obtained. The convergence of Haar technique is checked on some test problems.http://dx.doi.org/10.1155/2021/5805433 |
| spellingShingle | Hualing Wu Rohul Amin Asmatullah Khan Shah Nazir Sultan Ahmad Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach Complexity |
| title | Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach |
| title_full | Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach |
| title_fullStr | Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach |
| title_full_unstemmed | Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach |
| title_short | Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach |
| title_sort | solution of the systems of delay integral equations in heterogeneous data communication through haar wavelet collocation approach |
| url | http://dx.doi.org/10.1155/2021/5805433 |
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