Solving Fredholm integro-differential equations using Hybrid and Block-Pulse functions
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912555036835840 |
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| author | Hosry, Aline Nakad, Roger Bhalekar, Sachin |
| author_facet | Hosry, Aline Nakad, Roger Bhalekar, Sachin |
| contents | In this paper, hybrid and block-pulse functions are used to approximate the solution of a class of Fredholm integro-differential equations that was first studied by Hemeda. By employing suitable approximations, the equation has been converted into a system of algebraic equations that can be solved with classical methods. Finally, the method is explained with illustrative examples and results are compared to the results obtained by Hemeda's method to show the usefulness and efficiency of the block-pulse and hybrid functions approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_18674 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Solving Fredholm integro-differential equations using Hybrid and Block-Pulse functions Hosry, Aline Nakad, Roger Bhalekar, Sachin Functional Analysis 45B05, 45D05 In this paper, hybrid and block-pulse functions are used to approximate the solution of a class of Fredholm integro-differential equations that was first studied by Hemeda. By employing suitable approximations, the equation has been converted into a system of algebraic equations that can be solved with classical methods. Finally, the method is explained with illustrative examples and results are compared to the results obtained by Hemeda's method to show the usefulness and efficiency of the block-pulse and hybrid functions approach. |
| title | Solving Fredholm integro-differential equations using Hybrid and Block-Pulse functions |
| topic | Functional Analysis 45B05, 45D05 |
| url | https://arxiv.org/abs/2508.18674 |