A novel approach for solving weakly singular fractional integro-differential equations
In this essay, we introduce a novel idea to tackle the challenges of fractional integro-differential equations (FIDEs) featuring weakly singular kernels (WSKs). New idea leverages B-splines for solving such equations, offering a robust numerical solution technique. We delve into the operational matr...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-12-01
|
| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124003085 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850061509580816384 |
|---|---|
| author | Ali Jalal Ali Mostafa Eslami Ali Tavakoli |
| author_facet | Ali Jalal Ali Mostafa Eslami Ali Tavakoli |
| author_sort | Ali Jalal Ali |
| collection | DOAJ |
| description | In this essay, we introduce a novel idea to tackle the challenges of fractional integro-differential equations (FIDEs) featuring weakly singular kernels (WSKs). New idea leverages B-splines for solving such equations, offering a robust numerical solution technique. We delve into the operational matrices integral to this method, providing comprehensive insights into their functionality. Furthermore, we establish the convergence of our approach and substantiate its effectiveness through various numerical examples. |
| format | Article |
| id | doaj-art-4b0cb3ddb1034f1d8fffa2bfe26c77b9 |
| institution | DOAJ |
| issn | 2666-8181 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-4b0cb3ddb1034f1d8fffa2bfe26c77b92025-08-20T02:50:13ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-011210092210.1016/j.padiff.2024.100922A novel approach for solving weakly singular fractional integro-differential equationsAli Jalal Ali0Mostafa Eslami1Ali Tavakoli2Department of Applied Mathematics, University of Mazandaran, Babolsar, IranCorresponding author.; Department of Applied Mathematics, University of Mazandaran, Babolsar, IranDepartment of Applied Mathematics, University of Mazandaran, Babolsar, IranIn this essay, we introduce a novel idea to tackle the challenges of fractional integro-differential equations (FIDEs) featuring weakly singular kernels (WSKs). New idea leverages B-splines for solving such equations, offering a robust numerical solution technique. We delve into the operational matrices integral to this method, providing comprehensive insights into their functionality. Furthermore, we establish the convergence of our approach and substantiate its effectiveness through various numerical examples.http://www.sciencedirect.com/science/article/pii/S2666818124003085Fractional integro-differential equationsPolynomial interpolationChebyshev nodesProbability |
| spellingShingle | Ali Jalal Ali Mostafa Eslami Ali Tavakoli A novel approach for solving weakly singular fractional integro-differential equations Partial Differential Equations in Applied Mathematics Fractional integro-differential equations Polynomial interpolation Chebyshev nodes Probability |
| title | A novel approach for solving weakly singular fractional integro-differential equations |
| title_full | A novel approach for solving weakly singular fractional integro-differential equations |
| title_fullStr | A novel approach for solving weakly singular fractional integro-differential equations |
| title_full_unstemmed | A novel approach for solving weakly singular fractional integro-differential equations |
| title_short | A novel approach for solving weakly singular fractional integro-differential equations |
| title_sort | novel approach for solving weakly singular fractional integro differential equations |
| topic | Fractional integro-differential equations Polynomial interpolation Chebyshev nodes Probability |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124003085 |
| work_keys_str_mv | AT alijalalali anovelapproachforsolvingweaklysingularfractionalintegrodifferentialequations AT mostafaeslami anovelapproachforsolvingweaklysingularfractionalintegrodifferentialequations AT alitavakoli anovelapproachforsolvingweaklysingularfractionalintegrodifferentialequations AT alijalalali novelapproachforsolvingweaklysingularfractionalintegrodifferentialequations AT mostafaeslami novelapproachforsolvingweaklysingularfractionalintegrodifferentialequations AT alitavakoli novelapproachforsolvingweaklysingularfractionalintegrodifferentialequations |